  We derive the empirical formulas for the neutron star mass and gravitational
redshift as a function of the central density and specific combination of the
nuclear saturation parameters, which are applicable to the stellar models
constructed with the central density up to threefold nuclear saturation
density. Combining the both empirical formulas, one also estimates the neutron
star radius. In practice, we find that the neutron star mass (radius) can be
estimated within $\sim 10\%$ (a few percent) accuracy by comparing the mass and
radius evaluated with our empirical formulas to those determined with the
specific equation of state. Since our empirical formulas directly connect the
neutron star mass and radius to the nuclear saturation parameters, one can
discuss the neutron star properties with the specific values of nuclear
saturation parameters constrained via nuclear experiments.
