688934313 has 6 divisors (see below), whose sum is σ = 995127354. Its totient is φ = 459289536.

The previous prime is 688934293. The next prime is 688934317. The reversal of 688934313 is 313439886.

It can be written as a sum of positive squares in only one way, i.e., 610930089 + 78004224 = 24717^2 + 8832^2 .

It is a de Polignac number, because none of the positive numbers 2^k-688934313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (688934317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38274120 + ... + 38274137.

It is an arithmetic number, because the mean of its divisors is an integer number (165854559).

Almost surely, 2^688934313 is an apocalyptic number.

It is an amenable number.

688934313 is a deficient number, since it is larger than the sum of its proper divisors (306193041).

688934313 is a wasteful number, since it uses less digits than its factorization.

688934313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76548263 (or 76548260 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 688934313 is about 26247.5582292906. The cubic root of 688934313 is about 883.2004301611.

The spelling of 688934313 in words is "six hundred eighty-eight million, nine hundred thirty-four thousand, three hundred thirteen".