313413 has 4 divisors (see below), whose sum is σ = 417888. Its totient is φ = 208940.

The previous prime is 313409. The next prime is 313471. The reversal of 313413 is 314313.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 313413 - 2² = 313409 is a prime.

It is a D-number.

It is a junction number, because it is equal to n+sod(n) for n = 313392 and 313401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313613) 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 3 ways as a sum of consecutive naturals, for example, 52233 + ... + 52238.

It is an arithmetic number, because the mean of its divisors is an integer number (104472).

2³¹³⁴¹³ is an apocalyptic number.

It is an amenable number.

313413 is a deficient number, since it is larger than the sum of its proper divisors (104475).

313413 is a wasteful number, since it uses less digits than its factorization.

313413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104474.

The product of its digits is 108, while the sum is 15.

The square root of 313413 is about 559.8330108166. The cubic root of 313413 is about 67.9264631801.

Adding to 313413 its reverse (314313), we get a palindrome (627726).

Subtracting 313413 from its reverse (314313), we obtain a square (900 = 30²).

The spelling of 313413 in words is "three hundred thirteen thousand, four hundred thirteen".