82713632 has 24 divisors (see below), whose sum is σ = 164908800. Its totient is φ = 40832064.

The previous prime is 82713629. The next prime is 82713661. The reversal of 82713632 is 23631728.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13832 + ... + 18887.

It is an arithmetic number, because the mean of its divisors is an integer number (6871200).

Almost surely, 2^82713632 is an apocalyptic number.

It is an amenable number.

82713632 is a deficient number, since it is larger than the sum of its proper divisors (82195168).

82713632 is a wasteful number, since it uses less digits than its factorization.

82713632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32808 (or 32800 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 82713632 is about 9094.7035135842. The cubic root of 82713632 is about 435.7048194204.

The spelling of 82713632 in words is "eighty-two million, seven hundred thirteen thousand, six hundred thirty-two".