313956 has 72 divisors (see below), whose sum is σ = 917280. Its totient is φ = 93312.

The previous prime is 313949. The next prime is 313961. The reversal of 313956 is 659313.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313956.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16515 + ... + 16533.

It is an arithmetic number, because the mean of its divisors is an integer number (12740).

2³¹³⁹⁵⁶ is an apocalyptic number.

313956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458640).

313956 is an abundant number, since it is smaller than the sum of its proper divisors (603324).

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

313956 is a wasteful number, since it uses less digits than its factorization.

313956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 41 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 313956 is about 560.3177669858. The cubic root of 313956 is about 67.9656689448.

313956 divided by its sum of digits (27) gives a triangular number (11628 = T₁₅₂).

The spelling of 313956 in words is "three hundred thirteen thousand, nine hundred fifty-six".