82215792 has 60 divisors (see below), whose sum is σ = 234014040. Its totient is φ = 26937984.

The previous prime is 82215787. The next prime is 82215821. The reversal of 82215792 is 29751228.

82215792 is a `hidden beast` number, since 82 + 2 + 1 + 579 + 2 = 666.

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

It is a congruent number.

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, 3658 + ... + 13334.

It is an arithmetic number, because the mean of its divisors is an integer number (3900234).

Almost surely, 2^82215792 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 82215792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117007020).

82215792 is an abundant number, since it is smaller than the sum of its proper divisors (151798248).

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

82215792 is a wasteful number, since it uses less digits than its factorization.

82215792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9750 (or 9741 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 82215792 is about 9067.2924293860. The cubic root of 82215792 is about 434.8289140920.

The spelling of 82215792 in words is "eighty-two million, two hundred fifteen thousand, seven hundred ninety-two".