680957 has 4 divisors (see below), whose sum is σ = 682620. Its totient is φ = 679296.

The previous prime is 680929. The next prime is 680959. The reversal of 680957 is 759086.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 337561 + 343396 = 581^2 + 586^2 .

It is a cyclic number.

It is not a de Polignac number, because 680957 - 2¹⁰ = 679933 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 680957.

It is not an unprimeable number, because it can be changed into a prime (680959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 269 + ... + 1197.

It is an arithmetic number, because the mean of its divisors is an integer number (170655).

2⁶⁸⁰⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

680957 is a deficient number, since it is larger than the sum of its proper divisors (1663).

680957 is an equidigital number, since it uses as much as digits as its factorization.

680957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 680957 is about 825.2011875900. The cubic root of 680957 is about 87.9778267138.

The spelling of 680957 in words is "six hundred eighty thousand, nine hundred fifty-seven".