12582 has 16 divisors (see below), whose sum is σ = 28080. Its totient is φ = 4176.

The previous prime is 12577. The next prime is 12583. The reversal of 12582 is 28521.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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

12582 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63 + ... + 170.

It is an arithmetic number, because the mean of its divisors is an integer number (1755).

2¹²⁵⁸² is an apocalyptic number.

12582 is an abundant number, since it is smaller than the sum of its proper divisors (15498).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040).

12582 is a wasteful number, since it uses less digits than its factorization.

12582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 12582 is about 112.1695145750. The cubic root of 12582 is about 23.2585816396.

The spelling of 12582 in words is "twelve thousand, five hundred eighty-two".