82905732 has 72 divisors (see below), whose sum is σ = 257939136. Its totient is φ = 21864384.

The previous prime is 82905709. The next prime is 82905737. The reversal of 82905732 is 23750928.

It is a happy number.

82905732 is a `hidden beast` number, since 82 + 9 + 0 + 573 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (82905737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9378 + ... + 15929.

It is an arithmetic number, because the mean of its divisors is an integer number (3582488).

Almost surely, 2^82905732 is an apocalyptic number.

It is an amenable number.

82905732 is an abundant number, since it is smaller than the sum of its proper divisors (175033404).

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

82905732 is a wasteful number, since it uses less digits than its factorization.

82905732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25337 (or 25332 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 82905732 is about 9105.2584806803. The cubic root of 82905732 is about 436.0418625461.

The spelling of 82905732 in words is "eighty-two million, nine hundred five thousand, seven hundred thirty-two".