688767313 has 8 divisors (see below), whose sum is σ = 767327400. Its totient is φ = 613861248.

The previous prime is 688767311. The next prime is 688767349. The reversal of 688767313 is 313767886.

It can be written as a sum of positive squares in 4 ways, for example, as 85229824 + 603537489 = 9232^2 + 24567^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 688767313 - 2¹ = 688767311 is a prime.

It is a super-2 number, since 2×688767313² = 948800822914479938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (688767311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 913108 + ... + 913861.

It is an arithmetic number, because the mean of its divisors is an integer number (95915925).

Almost surely, 2^688767313 is an apocalyptic number.

It is an amenable number.

688767313 is a deficient number, since it is larger than the sum of its proper divisors (78560087).

688767313 is a wasteful number, since it uses less digits than its factorization.

688767313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827011.

The product of its digits is 1016064, while the sum is 49.

The square root of 688767313 is about 26244.3767881807. The cubic root of 688767313 is about 883.1290608068.

The spelling of 688767313 in words is "six hundred eighty-eight million, seven hundred sixty-seven thousand, three hundred thirteen".