12645 has 12 divisors (see below), whose sum is σ = 21996. Its totient is φ = 6720.

The previous prime is 12641. The next prime is 12647. The reversal of 12645 is 54621.

It is a happy number.

12645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6561 + 6084 = 81^2 + 78^2 .

It is not a de Polignac number, because 12645 - 2² = 12641 is a prime.

12645 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12641) 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 11 ways as a sum of consecutive naturals, for example, 96 + ... + 185.

It is an arithmetic number, because the mean of its divisors is an integer number (1833).

2¹²⁶⁴⁵ is an apocalyptic number.

12645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12645 is a deficient number, since it is larger than the sum of its proper divisors (9351).

12645 is a wasteful number, since it uses less digits than its factorization.

12645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 289 counting only the distinct ones).

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

The square root of 12645 is about 112.4499888839. The cubic root of 12645 is about 23.2973367866.

It can be divided in two parts, 126 and 45, that added together give a palindrome (171).

The spelling of 12645 in words is "twelve thousand, six hundred forty-five".