313768 has 32 divisors (see below), whose sum is σ = 725760. Its totient is φ = 123840.

The previous prime is 313763. The next prime is 313777. The reversal of 313768 is 867313.

313768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313763) by changing a digit.

313768 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 7 ways as a sum of consecutive naturals, for example, 513 + ... + 943.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2³¹³⁷⁶⁸ 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 313768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

313768 is an abundant number, since it is smaller than the sum of its proper divisors (411992).

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

313768 is a wasteful number, since it uses less digits than its factorization.

313768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 453 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 313768 is about 560.1499799161. The cubic root of 313768 is about 67.9521000614.

It can be divided in two parts, 313 and 768, that added together give a triangular number (1081 = T₄₆).

The spelling of 313768 in words is "three hundred thirteen thousand, seven hundred sixty-eight".