82509631 has 8 divisors (see below), whose sum is σ = 85276800. Its totient is φ = 79749120.

The previous prime is 82509613. The next prime is 82509641. The reversal of 82509631 is 13690528.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82509631 - 2⁵ = 82509599 is a prime.

It is a super-2 number, since 2×82509631² = 13615678415512322, 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 (82509601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42735 + ... + 44623.

It is an arithmetic number, because the mean of its divisors is an integer number (10659600).

Almost surely, 2^82509631 is an apocalyptic number.

82509631 is a deficient number, since it is larger than the sum of its proper divisors (2767169).

82509631 is a wasteful number, since it uses less digits than its factorization.

82509631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3329.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 82509631 is about 9083.4812159216. The cubic root of 82509631 is about 435.3463239290.

The spelling of 82509631 in words is "eighty-two million, five hundred nine thousand, six hundred thirty-one".