  In this paper we consider integers in base 10 like $abc$, where $a$, $b$, $c$
are digits of the integer, such that $abc^2 - (abc \cdot cba) \; = \; \pm n^2$,
where $n$ is a positive integer, as well as equations $abc^2 - (abc \cdot cba)
\; = \; \pm n^3$, and $abc^3 - (abc \cdot cba) \; = \; \pm n^2$ We consider
asymptotic density of solutions. We also compare the results with ones with
bases different from 10.
