313668 has 18 divisors (see below), whose sum is σ = 792974. Its totient is φ = 104544.

The previous prime is 313661. The next prime is 313669. The reversal of 313668 is 866313.

313668 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 311364 + 2304 = 558^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×313668² = 196775228448, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313668.

It is not an unprimeable number, because it can be changed into a prime (313661) by changing a digit.

313668 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 4321 + ... + 4392.

2³¹³⁶⁶⁸ is an apocalyptic number.

It is an amenable number.

313668 is an abundant number, since it is smaller than the sum of its proper divisors (479306).

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

313668 is a wasteful number, since it uses less digits than its factorization.

313668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8723 (or 8718 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 313668 is about 560.0607109948. The cubic root of 313668 is about 67.9448803619.

The spelling of 313668 in words is "three hundred thirteen thousand, six hundred sixty-eight".