315313 has 2 divisors, whose sum is σ = 315314. Its totient is φ = 315312.

The previous prime is 315281. The next prime is 315349. The reversal of 315313 is 313513.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 304704 + 10609 = 552^2 + 103^2 .

It is a cyclic number.

It is not a de Polignac number, because 315313 - 2⁵ = 315281 is a prime.

It is not a weakly prime, because it can be changed into another prime (315373) by changing a digit.

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 as a sum of consecutive naturals, namely, 157656 + 157657.

It is an arithmetic number, because the mean of its divisors is an integer number (157657).

2³¹⁵³¹³ is an apocalyptic number.

It is an amenable number.

315313 is a deficient number, since it is larger than the sum of its proper divisors (1).

315313 is an equidigital number, since it uses as much as digits as its factorization.

315313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 135, while the sum is 16.

The square root of 315313 is about 561.5273813448. The cubic root of 315313 is about 68.0634500043.

Adding to 315313 its reverse (313513), we get a palindrome (628826).

The spelling of 315313 in words is "three hundred fifteen thousand, three hundred thirteen".