Abstract: The adjustable safety razor has a handle assembly having an elongated handle member terminating in a mounting boss having a forwardly orientated disc-like mating face. It has a shaving razor head assembly having a rearward mounting boss with a rearwardly oriented disc-like mating face. Each mating face is formed to have a plurality of radial grooves and ridges. The radial grooves and ridges of one mating face are a mirror complement of the radial grooves and ridges of the other mating face. Means is provided for yieldably biasing the mating faces together in intermeshed condition. The shaving head assembly is thus adjustable with respect to the handle assembly by indexed rotation of the mating face of one assembly with respect to the other.