82315313 has 2 divisors, whose sum is σ = 82315314. Its totient is φ = 82315312.

The previous prime is 82315279. The next prime is 82315319. The reversal of 82315313 is 31351328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67699984 + 14615329 = 8228^2 + 3823^2 .

It is a cyclic number.

It is not a de Polignac number, because 82315313 - 2²² = 78121009 is a prime.

It is not a weakly prime, because it can be changed into another prime (82315319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41157656 + 41157657.

It is an arithmetic number, because the mean of its divisors is an integer number (41157657).

Almost surely, 2^82315313 is an apocalyptic number.

It is an amenable number.

82315313 is a deficient number, since it is larger than the sum of its proper divisors (1).

82315313 is an equidigital number, since it uses as much as digits as its factorization.

82315313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 26.

The square root of 82315313 is about 9072.7786813082. The cubic root of 82315313 is about 435.0042946685.

It can be divided in two parts, 82315 and 313, that added together give a palindrome (82628).

The spelling of 82315313 in words is "eighty-two million, three hundred fifteen thousand, three hundred thirteen".