313312 has 12 divisors (see below), whose sum is σ = 616896. Its totient is φ = 156640.

The previous prime is 313307. The next prime is 313321. The reversal of 313312 is 213313.

313312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 313292 and 313301.

It is a congruent number.

It is an unprimeable number.

313312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4864 + ... + 4927.

It is an arithmetic number, because the mean of its divisors is an integer number (51408).

2³¹³³¹² is an apocalyptic number.

313312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

313312 is a deficient number, since it is larger than the sum of its proper divisors (303584).

313312 is an equidigital number, since it uses as much as digits as its factorization.

313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9801 (or 9793 counting only the distinct ones).

The product of its digits is 54, while the sum is 13.

The square root of 313312 is about 559.7427980778. The cubic root of 313312 is about 67.9191657697.

Adding to 313312 its reverse (213313), we get a palindrome (526625).

Subtracting from 313312 its reverse (213313), we obtain a palindrome (99999).

It can be divided in two parts, 313 and 312, that added together give a 4-th power (625 = 5⁴).

The spelling of 313312 in words is "three hundred thirteen thousand, three hundred twelve".