686585 has 8 divisors (see below), whose sum is σ = 828360. Its totient is φ = 546304.

The previous prime is 686563. The next prime is 686593. The reversal of 686585 is 585686.

It can be written as a sum of positive squares in 4 ways, for example, as 12544 + 674041 = 112^2 + 821^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 686585 - 2¹² = 682489 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 686585.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1571 + ... + 1959.

It is an arithmetic number, because the mean of its divisors is an integer number (103545).

2⁶⁸⁶⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

686585 is a deficient number, since it is larger than the sum of its proper divisors (141775).

686585 is a wasteful number, since it uses less digits than its factorization.

686585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747.

The product of its digits is 57600, while the sum is 38.

The square root of 686585 is about 828.6042481185. The cubic root of 686585 is about 88.2195362274.

The spelling of 686585 in words is "six hundred eighty-six thousand, five hundred eighty-five".