688397 has 2 divisors, whose sum is σ = 688398. Its totient is φ = 688396.

The previous prime is 688393. The next prime is 688403. The reversal of 688397 is 793886.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 687241 + 1156 = 829^2 + 34^2 .

It is a cyclic number.

It is not a de Polignac number, because 688397 - 2² = 688393 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (688393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344198 + 344199.

It is an arithmetic number, because the mean of its divisors is an integer number (344199).

2⁶⁸⁸³⁹⁷ is an apocalyptic number.

It is an amenable number.

688397 is a deficient number, since it is larger than the sum of its proper divisors (1).

688397 is an equidigital number, since it uses as much as digits as its factorization.

688397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 41.

The square root of 688397 is about 829.6969326206. The cubic root of 688397 is about 88.2970762161.

The spelling of 688397 in words is "six hundred eighty-eight thousand, three hundred ninety-seven".