All fixed pitch propellers will increase in rpm as speed rises.
Static rpm will be found in all certified aircraft Pilot Operating Handbooks, POH or flight manual. It is a sure fire way to know the health of the engine, not making static rpm, something is wrong. An interesting thing is static rpm is not dependent on altitude, or density altitude. With increasing density altitude the propeller becomes easier to turn at the same rate the engines ability to turn it decreases.
For the Beech 23, 160hp fixed pitch static is about 2300rpm, in climb at 78knots about 2500rpm, straight and level full throttle about 2700 rpm which is the red line. Normal cruise at 75% about 2450rpm.