313974 has 12 divisors (see below), whose sum is σ = 680316. Its totient is φ = 104652.

The previous prime is 313969. The next prime is 313979. The reversal of 313974 is 479313.

It is an interprime number because it is at equal distance from previous prime (313969) and next prime (313979).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 313974.

It is not an unprimeable number, because it can be changed into a prime (313979) by changing a digit.

313974 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 5 ways as a sum of consecutive naturals, for example, 8704 + ... + 8739.

It is an arithmetic number, because the mean of its divisors is an integer number (56693).

2³¹³⁹⁷⁴ is an apocalyptic number.

313974 is an abundant number, since it is smaller than the sum of its proper divisors (366342).

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

313974 is a wasteful number, since it uses less digits than its factorization.

313974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17451 (or 17448 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 313974 is about 560.3338290698. Note that the first 3 decimals coincide. The cubic root of 313974 is about 67.9669678090.

It can be divided in two parts, 31 and 3974, that added together give a triangular number (4005 = T₈₉).

The spelling of 313974 in words is "three hundred thirteen thousand, nine hundred seventy-four".