12892 has 12 divisors (see below), whose sum is σ = 24696. Its totient is φ = 5840.

The previous prime is 12889. The next prime is 12893. The reversal of 12892 is 29821.

12892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a plaindrome in base 14.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12893) 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, 103 + ... + 190.

It is an arithmetic number, because the mean of its divisors is an integer number (2058).

2¹²⁸⁹² is an apocalyptic number.

It is an amenable number.

12892 is a deficient number, since it is larger than the sum of its proper divisors (11804).

12892 is a wasteful number, since it uses less digits than its factorization.

12892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 306 counting only the distinct ones).

The product of its digits is 288, while the sum is 22.

The square root of 12892 is about 113.5429434179. The cubic root of 12892 is about 23.4480518413.

The spelling of 12892 in words is "twelve thousand, eight hundred ninety-two".