312613 has 16 divisors (see below), whose sum is σ = 393984. Its totient is φ = 241920.

The previous prime is 312601. The next prime is 312617. The reversal of 312613 is 316213.

It is not a de Polignac number, because 312613 - 2⁵ = 312581 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4368 + ... + 4438.

It is an arithmetic number, because the mean of its divisors is an integer number (24624).

2³¹²⁶¹³ is an apocalyptic number.

It is an amenable number.

312613 is a deficient number, since it is larger than the sum of its proper divisors (81371).

312613 is a wasteful number, since it uses less digits than its factorization.

312613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132.

The product of its digits is 108, while the sum is 16.

The square root of 312613 is about 559.1180555124. The cubic root of 312613 is about 67.8686188743.

Adding to 312613 its reverse (316213), we get a palindrome (628826).

Subtracting 312613 from its reverse (316213), we obtain a square (3600 = 60²).

It can be divided in two parts, 31 and 2613, that multiplied together give a triangular number (81003 = T₄₀₂).

The spelling of 312613 in words is "three hundred twelve thousand, six hundred thirteen".