82713216 has 32 divisors (see below), whose sum is σ = 219708000. Its totient is φ = 27570944.

The previous prime is 82713181. The next prime is 82713217. The reversal of 82713216 is 61231728.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×82713216² = 13682952202125312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82713217) by changing a digit.

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, 107316 + ... + 108083.

It is an arithmetic number, because the mean of its divisors is an integer number (6865875).

Almost surely, 2^82713216 is an apocalyptic number.

It is an amenable number.

82713216 is an abundant number, since it is smaller than the sum of its proper divisors (136994784).

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

82713216 is a wasteful number, since it uses less digits than its factorization.

82713216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215416 (or 215404 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 82713216 is about 9094.6806431012. The cubic root of 82713216 is about 435.7040889745.

The spelling of 82713216 in words is "eighty-two million, seven hundred thirteen thousand, two hundred sixteen".