688757 has 2 divisors, whose sum is σ = 688758. Its totient is φ = 688756.

The previous prime is 688747. The next prime is 688763. The reversal of 688757 is 757886.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 417316 + 271441 = 646^2 + 521^2 .

It is a cyclic number.

It is not a de Polignac number, because 688757 - 2⁴ = 688741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (688717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344378 + 344379.

It is an arithmetic number, because the mean of its divisors is an integer number (344379).

2⁶⁸⁸⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

688757 is a deficient number, since it is larger than the sum of its proper divisors (1).

688757 is an equidigital number, since it uses as much as digits as its factorization.

688757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 94080, while the sum is 41.

The square root of 688757 is about 829.9138509508. The cubic root of 688757 is about 88.3124653051.

The spelling of 688757 in words is "six hundred eighty-eight thousand, seven hundred fifty-seven".