82215936 has 132 divisors (see below), whose sum is σ = 259297584. Its totient is φ = 24883200.

The previous prime is 82215857. The next prime is 82215943. The reversal of 82215936 is 63951228.

It is a tau number, because it is divible by the number of its divisors (132).

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 82215936.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100971 + ... + 101781.

Almost surely, 2^82215936 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 82215936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129648792).

82215936 is an abundant number, since it is smaller than the sum of its proper divisors (177081648).

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

82215936 is a wasteful number, since it uses less digits than its factorization.

82215936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 827 counting only the distinct ones).

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

The square root of 82215936 is about 9067.3003700109. The cubic root of 82215936 is about 434.8291679577.

The spelling of 82215936 in words is "eighty-two million, two hundred fifteen thousand, nine hundred thirty-six".