12954 has 16 divisors (see below), whose sum is σ = 27648. Its totient is φ = 4032.

The previous prime is 12953. The next prime is 12959. The reversal of 12954 is 45921.

12954 is nontrivially palindromic in base 5.

12954 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12954² = 335612232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12954.

It is not an unprimeable number, because it can be changed into a prime (12953) 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, 39 + ... + 165.

It is an arithmetic number, because the mean of its divisors is an integer number (1728).

2¹²⁹⁵⁴ is an apocalyptic number.

12954 is an abundant number, since it is smaller than the sum of its proper divisors (14694).

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 (13824).

12954 is a wasteful number, since it uses less digits than its factorization.

12954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149.

The product of its digits is 360, while the sum is 21.

The square root of 12954 is about 113.8156404015. The cubic root of 12954 is about 23.4855804100.

The spelling of 12954 in words is "twelve thousand, nine hundred fifty-four".