12524 has 12 divisors (see below), whose sum is σ = 22848. Its totient is φ = 6000.

The previous prime is 12517. The next prime is 12527. The reversal of 12524 is 42521.

12524 = 3² + 4² + ... + 33².

12524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12499 and 12508.

It is not an unprimeable number, because it can be changed into a prime (12527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74 + ... + 174.

It is an arithmetic number, because the mean of its divisors is an integer number (1904).

2¹²⁵²⁴ is an apocalyptic number.

It is an amenable number.

12524 is a deficient number, since it is larger than the sum of its proper divisors (10324).

12524 is a wasteful number, since it uses less digits than its factorization.

12524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 134 counting only the distinct ones).

The product of its digits is 80, while the sum is 14.

The square root of 12524 is about 111.9106786683. The cubic root of 12524 is about 23.2227877565. Note that the first 3 decimals are identical.

The spelling of 12524 in words is "twelve thousand, five hundred twenty-four".