  We consider several problems about pseudoprimes. First, we look at the issue
of their distribution in residue classes. There is a literature on this topic
in the case that the residue class is coprime to the modulus. Here we provide
some robust statistics in both these cases and the general case. In particular
we tabulate all even pseudoprimes to $10^{16}$. Second, we prove a recent
conjecture of Ordowski: the set of integers $n$ which are a pseudoprime to some
base which is a proper divisor of $n$ has an asymptotic density.
