A screwdriver bit includes a shank for coupling with a tool for rotating the shank. An engaging portion extends from one of two ends of the shank and includes an insertion section for coupling with a fastener. A reduced, threaded section is formed between one of the ends of the shank and the insertion section of the engaging portion. The reduced, threaded section includes an outer diameter smaller than that of the ends of the shank and an outer threading. The outer threading of the reduced, threaded section provides uniform stress distribution during torque transmission.