82931 has 4 divisors (see below), whose sum is σ = 83712. Its totient is φ = 82152.

The previous prime is 82913. The next prime is 82939. The reversal of 82931 is 13928.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82931 is a prime.

It is a super-2 number, since 2×82931² = 13755101522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82897 and 82906.

It is not an unprimeable number, because it can be changed into a prime (82939) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 200 + ... + 453.

It is an arithmetic number, because the mean of its divisors is an integer number (20928).

2⁸²⁹³¹ is an apocalyptic number.

82931 is a deficient number, since it is larger than the sum of its proper divisors (781).

82931 is a wasteful number, since it uses less digits than its factorization.

82931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780.

The product of its digits is 432, while the sum is 23.

The square root of 82931 is about 287.9774296711. The cubic root of 82931 is about 43.6086156977.

The spelling of 82931 in words is "eighty-two thousand, nine hundred thirty-one".