313715088 has 60 divisors (see below), whose sum is σ = 879418540. Its totient is φ = 104398848.

The previous prime is 313715081. The next prime is 313715123. The reversal of 313715088 is 880517313.

313715088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 122943744 + 190771344 = 11088^2 + 13812^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (313715081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109320 + ... + 112152.

Almost surely, 2^313715088 is an apocalyptic number.

It is an amenable number.

313715088 is an abundant number, since it is smaller than the sum of its proper divisors (565703452).

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

313715088 is a wasteful number, since it uses less digits than its factorization.

313715088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 313715088 is about 17712.0040650402. The cubic root of 313715088 is about 679.4828016510.

It can be divided in two parts, 3137 and 15088, that added together give a square (18225 = 135²).

The spelling of 313715088 in words is "three hundred thirteen million, seven hundred fifteen thousand, eighty-eight".