14904 has 40 divisors (see below), whose sum is σ = 43560. Its totient is φ = 4752.

The previous prime is 14897. The next prime is 14923. The reversal of 14904 is 40941.

14904 = T₅₇ + T₅₈ + ... + T₆₄.

14904 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 an Ulam number.

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14904.

It is an unprimeable number.

14904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 9 ways as a sum of consecutive naturals, for example, 637 + ... + 659.

It is an arithmetic number, because the mean of its divisors is an integer number (1089).

2¹⁴⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21780).

14904 is an abundant number, since it is smaller than the sum of its proper divisors (28656).

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

14904 is a wasteful number, since it uses less digits than its factorization.

14904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14904 is about 122.0819396963. The cubic root of 14904 is about 24.6093955782.

14904 divided by its sum of digits (18) gives a palindrome (828).

The spelling of 14904 in words is "fourteen thousand, nine hundred four".