82166832 has 80 divisors (see below), whose sum is σ = 257304960. Its totient is φ = 24897600.

The previous prime is 82166827. The next prime is 82166867. The reversal of 82166832 is 23866128.

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

It is a nude number because it is divisible by every one of its digits.

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, 3894 + ... + 13397.

It is an arithmetic number, because the mean of its divisors is an integer number (3216312).

Almost surely, 2^82166832 is an apocalyptic number.

It is an amenable number.

82166832 is an abundant number, since it is smaller than the sum of its proper divisors (175138128).

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

82166832 is a wasteful number, since it uses less digits than its factorization.

82166832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17319 (or 17307 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 82166832 is about 9064.5922136630. The cubic root of 82166832 is about 434.7425825391.

The spelling of 82166832 in words is "eighty-two million, one hundred sixty-six thousand, eight hundred thirty-two".