12536 has 8 divisors (see below), whose sum is σ = 23520. Its totient is φ = 6264.

The previous prime is 12527. The next prime is 12539. The reversal of 12536 is 63521.

12536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 15.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12539) by changing a digit.

12536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 776 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (2940).

2¹²⁵³⁶ is an apocalyptic number.

It is an amenable number.

12536 is a deficient number, since it is larger than the sum of its proper divisors (10984).

12536 is a wasteful number, since it uses less digits than its factorization.

12536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1569 counting only the distinct ones).

The product of its digits is 180, while the sum is 17.

The square root of 12536 is about 111.9642800182. The cubic root of 12536 is about 23.2302024402.

It can be divided in two parts, 125 and 36, that added together give a palindrome (161).

The spelling of 12536 in words is "twelve thousand, five hundred thirty-six".