313888 has 24 divisors (see below), whose sum is σ = 655452. Its totient is φ = 147456.

The previous prime is 313883. The next prime is 313889. The reversal of 313888 is 888313.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 71824 = 492^2 + 268^2 .

It is not an unprimeable number, because it can be changed into a prime (313883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 256 + ... + 832.

2³¹³⁸⁸⁸ 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 313888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327726).

313888 is an abundant number, since it is smaller than the sum of its proper divisors (341564).

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

313888 is a wasteful number, since it uses less digits than its factorization.

313888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 596 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 313888 is about 560.2570838463. The cubic root of 313888 is about 67.9607616762.

The spelling of 313888 in words is "three hundred thirteen thousand, eight hundred eighty-eight".