82129536 has 48 divisors (see below), whose sum is σ = 236339610. Its totient is φ = 27376128.

The previous prime is 82129513. The next prime is 82129543. The reversal of 82129536 is 63592128.

It can be written as a sum of positive squares in only one way, i.e., 41679936 + 40449600 = 6456^2 + 6360^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82129536.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34495 + ... + 36798.

Almost surely, 2^82129536 is an apocalyptic number.

It is an amenable number.

82129536 is an abundant number, since it is smaller than the sum of its proper divisors (154210074).

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

82129536 is a wasteful number, since it uses less digits than its factorization.

82129536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71313 (or 71298 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 82129536 is about 9062.5347447610. The cubic root of 82129536 is about 434.6767951939.

The spelling of 82129536 in words is "eighty-two million, one hundred twenty-nine thousand, five hundred thirty-six".