313964 has 12 divisors (see below), whose sum is σ = 627984. Its totient is φ = 134544.

The previous prime is 313961. The next prime is 313969. The reversal of 313964 is 469313.

313964 = T₂₉₆ + T₂₉₇ + ... + T₃₀₂.

313964 is an admirable number.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313964.

It is not an unprimeable number, because it can be changed into a prime (313961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5579 + ... + 5634.

It is an arithmetic number, because the mean of its divisors is an integer number (52332).

2³¹³⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

313964 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

313964 is a wasteful number, since it uses less digits than its factorization.

313964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11224 (or 11222 counting only the distinct ones).

The product of its digits is 1944, while the sum is 26.

The square root of 313964 is about 560.3249057467. The cubic root of 313964 is about 67.9662462239.

The spelling of 313964 in words is "three hundred thirteen thousand, nine hundred sixty-four".