82332315 has 64 divisors (see below), whose sum is σ = 161441280. Its totient is φ = 39553920.

The previous prime is 82332307. The next prime is 82332319. The reversal of 82332315 is 51323328.

It is not a de Polignac number, because 82332315 - 2³ = 82332307 is a prime.

It is a super-2 number, since 2×82332315² = 13557220186518450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82332319) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 74920 + ... + 76010.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 2^82332315 is an apocalyptic number.

82332315 is a deficient number, since it is larger than the sum of its proper divisors (79108965).

82332315 is a wasteful number, since it uses less digits than its factorization.

82332315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1155 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 82332315 is about 9073.7156115893. The cubic root of 82332315 is about 435.0342422509.

The spelling of 82332315 in words is "eighty-two million, three hundred thirty-two thousand, three hundred fifteen".