  The determination of the astrophysical properties of stars remains
challenging, and frequently relies on the application of stellar models.
Stellar sequences in nearby open clusters provide some of the best means to
test and calibrate stellar evolutionary models and isochrones, and to use these
models to assign astrophysical properties consistently to a large sample of
stars. We aim at updating the single star sequence of members of the Hyades
cluster, identifying the best-fitting isochrones, and determining the
astrophysical properties of the stars. The Gaia Catalogue of Nearby Stars
provides a comprehensive sample of high-probability members of the Hyades
cluster. We apply a multi-step method to flag photometric outliers, and to
identify bonafide single stars and likely binary and multiple systems. The
single stars define a tight sequence, which in the mass range 0.12 to 2.2 Msun
is well-fitted by PARSEC isochrones for a supersolar metallicity of [M/H] =
+0.18 +- 0.03 and an age of 775 +- 25 Myr. The isochrones enable us to assign
mass, effective temperature, luminosity, and surface gravity to each of the 600
bonafide single main-sequence stars. The observed sequence validates the PARSEC
isochrones. The derived stellar properties can serve as benchmarks for
atmospheric and evolutionary models, and for all-sky catalogs of stellar
astrophysical properties. The stellar properties are also relevant for studies
of exoplanet properties among Hyades exoplanet hosts.
