27682 is product of 2 and 4k+1 prime and so it can be expressed as a sum of two squares in one way only viz. 49^2 + 159^2.

27682 is a number whose sum of digits squared and sum of digits cubed are both prime, here 157 and 1087 respectively. See Bespoken for Sequence entry. A blog post that is related to this topic is Prime Sums Of Digits, Digits Squared And Digits Cubed.

27682 is an untouchable number.

27682 cannot be rendered as a digit equation: *NO_EQUATION*