82131123 has 16 divisors (see below), whose sum is σ = 110638080. Its totient is φ = 54192864.

The previous prime is 82131109. The next prime is 82131139. The reversal of 82131123 is 32113128.

It is not a de Polignac number, because 82131123 - 2⁹ = 82130611 is a prime.

It is a super-2 number, since 2×82131123² = 13491042730482258, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82131123.

It is not an unprimeable number, because it can be changed into a prime (82130123) 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, 195808 + ... + 196226.

It is an arithmetic number, because the mean of its divisors is an integer number (6914880).

Almost surely, 2^82131123 is an apocalyptic number.

82131123 is a deficient number, since it is larger than the sum of its proper divisors (28506957).

82131123 is a wasteful number, since it uses less digits than its factorization.

82131123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938.

The product of its digits is 288, while the sum is 21.

The square root of 82131123 is about 9062.6223026230. The cubic root of 82131123 is about 434.6795949485.

The spelling of 82131123 in words is "eighty-two million, one hundred thirty-one thousand, one hundred twenty-three".