315413 has 12 divisors (see below), whose sum is σ = 378252. Its totient is φ = 262080.

The previous prime is 315409. The next prime is 315421. The reversal of 315413 is 314513.

It can be written as a sum of positive squares in 2 ways, for example, as 47089 + 268324 = 217^2 + 518^2 .

It is not a de Polignac number, because 315413 - 2² = 315409 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 315391 and 315400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1931 + ... + 2087.

It is an arithmetic number, because the mean of its divisors is an integer number (31521).

2³¹⁵⁴¹³ is an apocalyptic number.

It is an amenable number.

315413 is a deficient number, since it is larger than the sum of its proper divisors (62839).

315413 is a wasteful number, since it uses less digits than its factorization.

315413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 205 counting only the distinct ones).

The product of its digits is 180, while the sum is 17.

The square root of 315413 is about 561.6164171390. The cubic root of 315413 is about 68.0706445757.

Adding to 315413 its reverse (314513), we get a palindrome (629926).

Subtracting from 315413 its reverse (314513), we obtain a square (900 = 30²).

The spelling of 315413 in words is "three hundred fifteen thousand, four hundred thirteen".