313164 has 18 divisors (see below), whose sum is σ = 791700. Its totient is φ = 104376.

The previous prime is 313163. The next prime is 313207. The reversal of 313164 is 461313.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313164.

It is not an unprimeable number, because it can be changed into a prime (313163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4314 + ... + 4385.

2³¹³¹⁶⁴ is an apocalyptic number.

It is an amenable number.

313164 is an abundant number, since it is smaller than the sum of its proper divisors (478536).

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

313164 is a wasteful number, since it uses less digits than its factorization.

313164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8709 (or 8704 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 313164 is about 559.6105788850. The cubic root of 313164 is about 67.9084697013.

Adding to 313164 its reverse (461313), we get a palindrome (774477).

The spelling of 313164 in words is "three hundred thirteen thousand, one hundred sixty-four".