82521936 has 160 divisors (see below), whose sum is σ = 280339200. Its totient is φ = 22740480.

The previous prime is 82521919. The next prime is 82521947. The reversal of 82521936 is 63912528.

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 82521936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87226 + ... + 88166.

It is an arithmetic number, because the mean of its divisors is an integer number (1752120).

Almost surely, 2^82521936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82521936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140169600).

82521936 is an abundant number, since it is smaller than the sum of its proper divisors (197817264).

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

82521936 is a wasteful number, since it uses less digits than its factorization.

82521936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 982 counting only the distinct ones).

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

The square root of 82521936 is about 9084.1585190925. The cubic root of 82521936 is about 435.3679645148.

The spelling of 82521936 in words is "eighty-two million, five hundred twenty-one thousand, nine hundred thirty-six".