82584956931 has 32 divisors (see below), whose sum is σ = 119780493120. Its totient is φ = 50401161216.

The previous prime is 82584956911. The next prime is 82584956953. The reversal of 82584956931 is 13965948528.

It is not a de Polignac number, because 82584956931 - 2¹¹ = 82584954883 is a prime.

It is a super-2 number, since 2×82584956931² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82584956911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8518735 + ... + 8528423.

It is an arithmetic number, because the mean of its divisors is an integer number (3743140410).

Almost surely, 2^82584956931 is an apocalyptic number.

82584956931 is a deficient number, since it is larger than the sum of its proper divisors (37195536189).

82584956931 is a wasteful number, since it uses less digits than its factorization.

82584956931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14263.

The product of its digits is 18662400, while the sum is 60.

The spelling of 82584956931 in words is "eighty-two billion, five hundred eighty-four million, nine hundred fifty-six thousand, nine hundred thirty-one".