82108964 has 24 divisors (see below), whose sum is σ = 165677568. Its totient is φ = 34876800.

The previous prime is 82108921. The next prime is 82108991. The reversal of 82108964 is 46980128.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 9812 + ... + 16139.

It is an arithmetic number, because the mean of its divisors is an integer number (6903232).

Almost surely, 2^82108964 is an apocalyptic number.

It is an amenable number.

82108964 is an abundant number, since it is smaller than the sum of its proper divisors (83568604).

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

82108964 is a wasteful number, since it uses less digits than its factorization.

82108964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26075 (or 26073 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 82108964 is about 9061.3996711325. The cubic root of 82108964 is about 434.6404992067.

The spelling of 82108964 in words is "eighty-two million, one hundred eight thousand, nine hundred sixty-four".