By analogy with the divisor function σ_1(n), let π(n) = product_(d|n) d denote the product of the divisors d of n (including n itself). For n = 1, 2, ..., the first few values are 1, 2, 3, 8, 5, 36, 7, 64, 27, 100, 11, 1728, 13, 196, ... (OEIS A007955). The divisor product satisfies the identity π(n) = n^(σ_0(n)/2). The following table gives values of n for which π(n) is a Pth power. Lionnet considered the case P = 2.
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