82031 has 2 divisors, whose sum is σ = 82032. Its totient is φ = 82030.

The previous prime is 82021. The next prime is 82037. The reversal of 82031 is 13028.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 82031 - 2⁶ = 81967 is a prime.

It is a super-2 number, since 2×82031² = 13458169922, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 81997 and 82015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41015 + 41016.

It is an arithmetic number, because the mean of its divisors is an integer number (41016).

2⁸²⁰³¹ is an apocalyptic number.

82031 is a deficient number, since it is larger than the sum of its proper divisors (1).

82031 is an equidigital number, since it uses as much as digits as its factorization.

82031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 82031 is about 286.4105444986. The cubic root of 82031 is about 43.4502889210.

Adding to 82031 its reverse (13028), we get a palindrome (95059).

The spelling of 82031 in words is "eighty-two thousand, thirty-one".