12585 has 8 divisors (see below), whose sum is σ = 20160. Its totient is φ = 6704.

The previous prime is 12583. The next prime is 12589. The reversal of 12585 is 58521.

12585 is digitally balanced in base 3, 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 a cyclic number.

It is not a de Polignac number, because 12585 - 2¹ = 12583 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12583) 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, 405 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2¹²⁵⁸⁵ is an apocalyptic number.

12585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12585 is a deficient number, since it is larger than the sum of its proper divisors (7575).

12585 is an equidigital number, since it uses as much as digits as its factorization.

12585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847.

The product of its digits is 400, while the sum is 21.

The square root of 12585 is about 112.1828863954. The cubic root of 12585 is about 23.2604300527.

It can be divided in two parts, 125 and 85, that added together give a triangular number (210 = T₂₀).

The spelling of 12585 in words is "twelve thousand, five hundred eighty-five".