82318313 has 16 divisors (see below), whose sum is σ = 102902400. Its totient is φ = 63974400.

The previous prime is 82318309. The next prime is 82318319. The reversal of 82318313 is 31381328.

It is not a de Polignac number, because 82318313 - 2² = 82318309 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82318319) 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 15 ways as a sum of consecutive naturals, for example, 33383 + ... + 35763.

It is an arithmetic number, because the mean of its divisors is an integer number (6431400).

Almost surely, 2^82318313 is an apocalyptic number.

It is an amenable number.

82318313 is a deficient number, since it is larger than the sum of its proper divisors (20584087).

82318313 is a wasteful number, since it uses less digits than its factorization.

82318313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848.

The product of its digits is 3456, while the sum is 29.

The square root of 82318313 is about 9072.9440095263. The cubic root of 82318313 is about 435.0095792139.

The spelling of 82318313 in words is "eighty-two million, three hundred eighteen thousand, three hundred thirteen".