688297 has 2 divisors, whose sum is σ = 688298. Its totient is φ = 688296.

The previous prime is 688277. The next prime is 688309. The reversal of 688297 is 792886.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 434281 + 254016 = 659^2 + 504^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-688297 is a prime.

It is a Chen prime.

688297 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (688217) 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, 344148 + 344149.

It is an arithmetic number, because the mean of its divisors is an integer number (344149).

2⁶⁸⁸²⁹⁷ is an apocalyptic number.

It is an amenable number.

688297 is a deficient number, since it is larger than the sum of its proper divisors (1).

688297 is an equidigital number, since it uses as much as digits as its factorization.

688297 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 40.

The square root of 688297 is about 829.6366674635. The cubic root of 688297 is about 88.2928005170.

The spelling of 688297 in words is "six hundred eighty-eight thousand, two hundred ninety-seven".