82631 has 4 divisors (see below), whose sum is σ = 87000. Its totient is φ = 78264.

The previous prime is 82619. The next prime is 82633. The reversal of 82631 is 13628.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 82631 - 2⁶ = 82567 is a prime.

It is a super-2 number, since 2×82631² = 13655764322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82633) 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, 2156 + ... + 2193.

It is an arithmetic number, because the mean of its divisors is an integer number (21750).

2⁸²⁶³¹ is an apocalyptic number.

82631 is a deficient number, since it is larger than the sum of its proper divisors (4369).

82631 is a wasteful number, since it uses less digits than its factorization.

82631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4368.

The product of its digits is 288, while the sum is 20.

The square root of 82631 is about 287.4560836023. The cubic root of 82631 is about 43.5559679473. Note that the first 3 decimals are identical.

The spelling of 82631 in words is "eighty-two thousand, six hundred thirty-one".