313720 has 64 divisors (see below), whose sum is σ = 829440. Its totient is φ = 105600.

The previous prime is 313717. The next prime is 313721. The reversal of 313720 is 27313.

313720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 313694 and 313703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10105 + ... + 10135.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2³¹³⁷²⁰ 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 313720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414720).

313720 is an abundant number, since it is smaller than the sum of its proper divisors (515720).

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

313720 is a wasteful number, since it uses less digits than its factorization.

313720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 313720 is about 560.1071326095. The cubic root of 313720 is about 67.9486347971.

The spelling of 313720 in words is "three hundred thirteen thousand, seven hundred twenty".