12546 has 24 divisors (see below), whose sum is σ = 29484. Its totient is φ = 3840.

The previous prime is 12541. The next prime is 12547. The reversal of 12546 is 64521.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12321 + 225 = 111^2 + 15^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (12541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286 + ... + 326.

12546 is a Friedman number, since it can be written as 246*51, using all its digits and the basic arithmetic operations.

2¹²⁵⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742).

12546 is an abundant number, since it is smaller than the sum of its proper divisors (16938).

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

12546 is a wasteful number, since it uses less digits than its factorization.

12546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 63 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 12546 is about 112.0089282156. The cubic root of 12546 is about 23.2363777295.

It can be divided in two parts, 125 and 46, that added together give a palindrome (171).

The spelling of 12546 in words is "twelve thousand, five hundred forty-six".