313812 has 36 divisors (see below), whose sum is σ = 829920. Its totient is φ = 99792.

The previous prime is 313783. The next prime is 313829. The reversal of 313812 is 218313.

313812 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

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 313812.

It is an unprimeable number.

313812 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 11 ways as a sum of consecutive naturals, for example, 639 + ... + 1017.

2³¹³⁸¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414960).

313812 is an abundant number, since it is smaller than the sum of its proper divisors (516108).

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

313812 is a wasteful number, since it uses less digits than its factorization.

313812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 407 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 313812 is about 560.1892537348. The cubic root of 313812 is about 67.9552762432.

The spelling of 313812 in words is "three hundred thirteen thousand, eight hundred twelve".