12586 has 16 divisors (see below), whose sum is σ = 23040. Its totient is φ = 5040.

The previous prime is 12583. The next prime is 12589. The reversal of 12586 is 68521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12583) and next prime (12589).

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, 391 + ... + 421.

It is an arithmetic number, because the mean of its divisors is an integer number (1440).

2¹²⁵⁸⁶ is an apocalyptic number.

12586 is a deficient number, since it is larger than the sum of its proper divisors (10454).

12586 is a wasteful number, since it uses less digits than its factorization.

12586 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69.

The product of its digits is 480, while the sum is 22.

The square root of 12586 is about 112.1873433147. The cubic root of 12586 is about 23.2610461251.

The spelling of 12586 in words is "twelve thousand, five hundred eighty-six".