12584 has 24 divisors (see below), whose sum is σ = 27930. Its totient is φ = 5280.

The previous prime is 12583. The next prime is 12589. The reversal of 12584 is 48521.

It can be written as a sum of positive squares in only one way, i.e., 12100 + 484 = 110^2 + 22^2 .

It is a plaindrome in base 15.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (12583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 962 + ... + 974.

2¹²⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13965).

12584 is an abundant number, since it is smaller than the sum of its proper divisors (15346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12584 is a wasteful number, since it uses less digits than its factorization.

12584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 26 counting only the distinct ones).

The product of its digits is 320, while the sum is 20.

The square root of 12584 is about 112.1784292990. The cubic root of 12584 is about 23.2598139476.

Subtracting 12584 from its reverse (48521), we obtain a cube (35937 = 33³).

The spelling of 12584 in words is "twelve thousand, five hundred eighty-four".