27332 is a product of a power of 2 and a 4k+1 prime, thus it can be expressed as a sum of two squares in one way only viz. 136^2 + 94^2.
27332 is a number that can be expressed as the sum of two pronic numbers in six different ways. In this case, the six ways are:
Between 27000 and 28000, there are only three such numbers and they are 27162, 27332 and 27462. See blog post Even Numbers as Sum and Differences of Two Pronic Numbers and permalink to calculation. See also later blog post Revisiting Sums and Differences of Two Pronic Numbers where we learn that 27332 = 11686142 - 11658810, a difference of two pronic numbers.
27332 is a self number because there is not a number n which added to its sum of digits gives 27332.
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