82166084 has 48 divisors (see below), whose sum is σ = 193070976. Its totient is φ = 29548800.

The previous prime is 82166069. The next prime is 82166093. The reversal of 82166084 is 48066128.

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 15 ways as a sum of consecutive naturals, for example, 6257 + ... + 14264.

It is an arithmetic number, because the mean of its divisors is an integer number (4022312).

Almost surely, 2^82166084 is an apocalyptic number.

It is an amenable number.

82166084 is an abundant number, since it is smaller than the sum of its proper divisors (110904892).

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

82166084 is a wasteful number, since it uses less digits than its factorization.

82166084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20556 (or 20554 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 82166084 is about 9064.5509541289. The cubic root of 82166084 is about 434.7412633188.

The spelling of 82166084 in words is "eighty-two million, one hundred sixty-six thousand, eighty-four".