681585 has 8 divisors (see below), whose sum is σ = 1090560. Its totient is φ = 363504.

The previous prime is 681563. The next prime is 681589. The reversal of 681585 is 585186.

681585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 681585 - 2⁶ = 681521 is a prime.

It is a super-2 number, since 2×681585² = 929116224450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 681585.

It is not an unprimeable number, because it can be changed into a prime (681589) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22705 + ... + 22734.

It is an arithmetic number, because the mean of its divisors is an integer number (136320).

2⁶⁸¹⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

681585 is a deficient number, since it is larger than the sum of its proper divisors (408975).

681585 is a wasteful number, since it uses less digits than its factorization.

681585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45447.

The product of its digits is 9600, while the sum is 33.

The square root of 681585 is about 825.5816131673. The cubic root of 681585 is about 88.0048637119.

It can be divided in two parts, 68 and 1585, that added together give a triangular number (1653 = T₅₇).

The spelling of 681585 in words is "six hundred eighty-one thousand, five hundred eighty-five".