688117 has 8 divisors (see below), whose sum is σ = 712800. Its totient is φ = 663984.

The previous prime is 688111. The next prime is 688133. The reversal of 688117 is 711886.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-688117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688111) 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, 6259 + ... + 6367.

It is an arithmetic number, because the mean of its divisors is an integer number (89100).

2⁶⁸⁸¹¹⁷ is an apocalyptic number.

It is an amenable number.

688117 is a deficient number, since it is larger than the sum of its proper divisors (24683).

688117 is a wasteful number, since it uses less digits than its factorization.

688117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275.

The product of its digits is 2688, while the sum is 31.

The square root of 688117 is about 829.5281791476. The cubic root of 688117 is about 88.2851032150.

The spelling of 688117 in words is "six hundred eighty-eight thousand, one hundred seventeen".