313368 has 32 divisors (see below), whose sum is σ = 855360. Its totient is φ = 94880.

The previous prime is 313351. The next prime is 313373. The reversal of 313368 is 863313.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313368.

It is an unprimeable number.

313368 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 in 7 ways as a sum of consecutive naturals, for example, 330 + ... + 857.

It is an arithmetic number, because the mean of its divisors is an integer number (26730).

2³¹³³⁶⁸ is an apocalyptic number.

It is an amenable number.

313368 is an abundant number, since it is smaller than the sum of its proper divisors (541992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313368 is a wasteful number, since it uses less digits than its factorization.

313368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1203 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 313368 is about 559.7928188178. The cubic root of 313368 is about 67.9232120523.

Subtracting 313368 from its reverse (863313), we obtain a palindrome (549945).

It can be divided in two parts, 3 and 13368, that multiplied together give a palindrome (40104).

The spelling of 313368 in words is "three hundred thirteen thousand, three hundred sixty-eight".