I have little knowledge about Kichak. He was a cruel minded person. I think he appeared during the Agyatvasa of the Pandvas and had some interaction with Draupadi in the Mahabharata. Please tell me full story of that incident.
Story of Kichaka and Draupadi is described in Mahabharata, Vana Parva: Kichaka-vadha Parva from SECTION XIV to SECTION XXV.
Kichaka was the brother of Sudeshna (wife of Virata) and commander of the army of Virata. He saw Drupadi when she was serving as Sairindhri in the palace of Sudeshna. Kichaka wanted to marry Draupadi but she refused and said she is already married with powerful Gandharvas. But Kichaka insulted Draupadi and tried to take her by force. Then Draupadi wanted to take revenge, so she told Bhima to kill Kichaka and finally Bhima did so.
And in order to pacify Krishna's wrath Vrikodara grasped Kichaka's throat with his arms and began to squeeze it. And assailing with his knees the waist of that worst of the Kichakas, all the limbs of whose body had been broken into fragments and whose eye-lids were closed, Vrikodara slew him, as one would slay a beast. And beholding Kichaka entirely motionless, the son of Pandu began to roll him about on the ground. And Bhima then said, 'Slaying this wretch who intended to violate our wife,--this thorn in the side of Sairindhri, I am freed from the debt I owed to my brothers, and have attained perfect peace.' And having said this, that foremost of men, with eyes red in wrath, relinquished his hold of Kichaka, whose dress and ornaments had been thrown off his person, whose eyes were rolling, and whose body was yet trembling. And that foremost of mighty persons, squeezing his own hands, and biting his lips in rage, again attacked his adversary and thrust his arms and legs and neck and head into his body like the wielder of the Pinaka reducing into shapeless mass the deer, which form sacrifice had assumed in order to escape his ire. And having; crushed all his limbs, and reduced him into a ball of flesh, the mighty Bhimasena showed him unto Krishna. And endued with mighty energy that hero then addressed Draupadi, that foremost of all women, saying, 'Come princess of Panchala, and see what hath become of that lustful wretch!' And saying this, Bhima of terrible prowess began to press with his feet the body of that wicked wight. And lighting a torch then and showing Draupadi the body of Kichaka, that hero addressed her, saying, 'O thou of tresses ending in beautiful curls, those that solicit thee, endued as thou art with an excellent disposition and every virtue, will be slain by me even as this Kichaka hath been, O timid one.' And having accomplished that difficult task so highly agreeable to Krishna--having indeed slain Kichaka and thereby pacified his wrath, Bhima bade farewell to Krishna, the daughter of Drupada, and quickly went back to the kitchen. And Draupadi also, that best of women, having caused Kichaka to be slain had her grief removed and experienced the greatest delight. And addressing the keepers of the dancing-hall, she said, 'Come ye and behold Kichaka who had violated after other people's wives lieth down here, slain by my Gandharva husbands.' And hearing these words the guards of the dancing hall soon came by thousands to that spot, torches in hand. And repairing to that room, they beheld the lifeless Kichaka thrown on the ground, drenched with blood. And beholding him without arms and legs, they were filled with grief. And as they gazed at Kichaka, they were struck with amazement. And seeing that superhuman act, viz., the overthrow of Kichaka, they said, 'Where is his neck, and where are his legs?' And beholding him in this plight they all concluded that he had been killed by a Gandharva.'"