680431657 has 2 divisors, whose sum is σ = 680431658. Its totient is φ = 680431656.

The previous prime is 680431621. The next prime is 680431693. The reversal of 680431657 is 756134086.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (680431621) and next prime (680431693).

It can be written as a sum of positive squares in only one way, i.e., 593214736 + 87216921 = 24356^2 + 9339^2 .

It is a cyclic number.

It is not a de Polignac number, because 680431657 - 2⁷ = 680431529 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (680431357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 340215828 + 340215829.

It is an arithmetic number, because the mean of its divisors is an integer number (340215829).

Almost surely, 2^680431657 is an apocalyptic number.

It is an amenable number.

680431657 is a deficient number, since it is larger than the sum of its proper divisors (1).

680431657 is an equidigital number, since it uses as much as digits as its factorization.

680431657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 680431657 is about 26085.0849528998. The cubic root of 680431657 is about 879.5519658879.

The spelling of 680431657 in words is "six hundred eighty million, four hundred thirty-one thousand, six hundred fifty-seven".