  Monte Carlo computer simulations in the canonical and grand canonical
statistical ensemble were used to explore the properties of the central force
(CF1) water model. The intramolecular structure of the H$_2$O molecule is well
reproduced by the model. Emphasis was made on hydrogen bonding, and on the
tehrahedral, $q$, and translational, $\tau$, order parameters. An energetic
definition of the hydrogen bond gives more consistent results for the average
number of hydrogen bonds compared to the one-parameter distance criterion. At
300 K, an average value of 3.8 was obtained. The $q$ and $\tau$ metrics were
used to elucidate the water-like anomalous behaviour of the CF1 model. The
structural anomalies lead to the density anomaly, with a good agreement of the
model's density with the experimental $\rho(T)$ trends. The chemical
potential-density projection of the model's equation of state was explored.
Vapour-liquid coexistence was observed at sufficiently low temperatures.
