  In 2000 Deaconescu raised a question whether there exists a composite $n$ for
which $S_2(n)|\phi(n)-1$, where $\phi(n)$ is Euler's function and $S_2(n)$ is
Schemmel's totient function. In this paper we prove that any such $n$ is odd,
squarefree and has at least seven distinct prime factors. We also prove that
any such $n$ with exactly $K$ distinct prime divisors is necessarily less than
$2^{2^{K+1}}$.
