A screwdriver for medical, in particular dental applications, is provided, the screwdriver (2, 2′, 2″) being configured to cooperate with a screw (1, 1′), the screw (1, 1′) having an apical end (11), a coronal end (10), a screw axis (S) and a first recess (14) at the coronal end for engagement with the screwdriver, the first recess (14) having a substantially polygonal inner contour in a radial plane that is perpendicular to the screw axis (S), the screwdriver (2, 2′, 2″) comprising a shaft (2) defining a longitudinal axis (D) of the screw driver, and an engagement portion (21, 21′, 21″) for engagement with the first recess (14) of the screw (1, 1′), the engagement portion (21, 21′, 21″) having a substantially polygonal outer contour with corners (23, 23′, 23″) and outer surfaces (22, 22′, 22″) between the corners (23, 23′, 23″) wherein in a radial plane that is perpendicular to the longitudinal axis (D), the outer surfaces (22, 22′, 22″) between two neighbouring corners (23, 23′, 23″) are curved radially outward.