313788 has 24 divisors (see below), whose sum is σ = 743680. Its totient is φ = 102960.

The previous prime is 313783. The next prime is 313829. The reversal of 313788 is 887313.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313783) by changing a digit.

313788 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, 783 + ... + 1113.

2³¹³⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

313788 is an abundant number, since it is smaller than the sum of its proper divisors (429892).

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

313788 is a wasteful number, since it uses less digits than its factorization.

313788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 313788 is about 560.1678319932. The cubic root of 313788 is about 67.9535438172.

The spelling of 313788 in words is "three hundred thirteen thousand, seven hundred eighty-eight".