12906 has 16 divisors (see below), whose sum is σ = 28800. Its totient is φ = 4284.

The previous prime is 12899. The next prime is 12907. The reversal of 12906 is 60921.

12906 is nontrivially palindromic in base 7.

12906 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 (18).

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 (12907) 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 7 ways as a sum of consecutive naturals, for example, 66 + ... + 173.

It is an arithmetic number, because the mean of its divisors is an integer number (1800).

2^{12906} is an apocalyptic number.

12906 is an abundant number, since it is smaller than the sum of its proper divisors (15894).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14400).

12906 is a wasteful number, since it uses less digits than its factorization.

12906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 12906 is about 113.6045773726. The cubic root of 12906 is about 23.4565365339.

12906 divided by its sum of digits (18) gives a palindrome (717).

It can be divided in two parts, 1290 and 6, that added together give a 4-th power (1296 = 6^{4}).

The spelling of 12906 in words is "twelve thousand, nine hundred six".

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