680857 has 2 divisors, whose sum is σ = 680858. Its totient is φ = 680856.

The previous prime is 680831. The next prime is 680861. The reversal of 680857 is 758086.

680857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 379456 + 301401 = 616^2 + 549^2 .

It is a cyclic number.

It is not a de Polignac number, because 680857 - 2¹¹ = 678809 is a prime.

It is not a weakly prime, because it can be changed into another prime (680657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 340428 + 340429.

It is an arithmetic number, because the mean of its divisors is an integer number (340429).

2⁶⁸⁰⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

680857 is a deficient number, since it is larger than the sum of its proper divisors (1).

680857 is an equidigital number, since it uses as much as digits as its factorization.

680857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 680857 is about 825.1405940808. The cubic root of 680857 is about 87.9735199252.

The spelling of 680857 in words is "six hundred eighty thousand, eight hundred fifty-seven".