680257 has 4 divisors (see below), whose sum is σ = 716080. Its totient is φ = 644436.

The previous prime is 680249. The next prime is 680263. The reversal of 680257 is 752086.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 680257 - 2³ = 680249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (680237) 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 in 3 ways as a sum of consecutive naturals, for example, 17883 + ... + 17920.

It is an arithmetic number, because the mean of its divisors is an integer number (179020).

2⁶⁸⁰²⁵⁷ is an apocalyptic number.

It is an amenable number.

680257 is a deficient number, since it is larger than the sum of its proper divisors (35823).

680257 is a wasteful number, since it uses less digits than its factorization.

680257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35822.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 680257 is about 824.7769395418. The cubic root of 680257 is about 87.9476703343.

It can be divided in two parts, 6802 and 57, that added together give a cube (6859 = 19³).

The spelling of 680257 in words is "six hundred eighty thousand, two hundred fifty-seven".