82586931 has 16 divisors (see below), whose sum is σ = 126491904. Its totient is φ = 46950624.

The previous prime is 82586929. The next prime is 82586941. The reversal of 82586931 is 13968528.

It is not a de Polignac number, because 82586931 - 2¹ = 82586929 is a prime.

It is a super-2 number, since 2×82586931² = 13641202343997522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82586941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5845 + ... + 14118.

It is an arithmetic number, because the mean of its divisors is an integer number (7905744).

Almost surely, 2^82586931 is an apocalyptic number.

82586931 is a deficient number, since it is larger than the sum of its proper divisors (43904973).

82586931 is a wasteful number, since it uses less digits than its factorization.

82586931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20170.

The product of its digits is 103680, while the sum is 42.

The square root of 82586931 is about 9087.7351964062. The cubic root of 82586931 is about 435.4822343948.

The spelling of 82586931 in words is "eighty-two million, five hundred eighty-six thousand, nine hundred thirty-one".