83175264 has 36 divisors (see below), whose sum is σ = 236530476. Its totient is φ = 27724992.

The previous prime is 83175247. The next prime is 83175283. The reversal of 83175264 is 46257138.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144114 + ... + 144689.

It is an arithmetic number, because the mean of its divisors is an integer number (6570291).

Almost surely, 2^83175264 is an apocalyptic number.

It is an amenable number.

83175264 is an abundant number, since it is smaller than the sum of its proper divisors (153355212).

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

83175264 is a wasteful number, since it uses less digits than its factorization.

83175264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288819 (or 288808 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 83175264 is about 9120.0473682980. The cubic root of 83175264 is about 436.5138850029.

The spelling of 83175264 in words is "eighty-three million, one hundred seventy-five thousand, two hundred sixty-four".