  We study the higher Frobenius-Schur indicators of modules over semisimple
Hopf algebras, and relate them to other invariants as the exponent, the order,
and the index. We prove various divisibility and integrality results for these
invariants. In particular, we prove a version of Cauchy's theorem for
semisimple Hopf algebras. Furthermore, we give some examples that illustrate
the general theory.
