82131610 has 32 divisors (see below), whose sum is σ = 165219264. Its totient is φ = 29136000.

The previous prime is 82131589. The next prime is 82131611. The reversal of 82131610 is 1613128.

It is a super-2 number, since 2×82131610² = 13491202722384200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (82131611) 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, 4596 + ... + 13615.

It is an arithmetic number, because the mean of its divisors is an integer number (5163102).

Almost surely, 2^82131610 is an apocalyptic number.

82131610 is an abundant number, since it is smaller than the sum of its proper divisors (83087654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82131610 is a wasteful number, since it uses less digits than its factorization.

82131610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18270.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 82131610 is about 9062.6491711861. The cubic root of 82131610 is about 434.6804540972.

Adding to 82131610 its reverse (1613128), we get a palindrome (83744738).

The spelling of 82131610 in words is "eighty-two million, one hundred thirty-one thousand, six hundred ten".