14924 has 24 divisors (see below), whose sum is σ = 32928. Its totient is φ = 5760.

The previous prime is 14923. The next prime is 14929. The reversal of 14924 is 42941.

14924 = T₃₉ + T₄₀ + ... + T₅₂.

14924 is nontrivially palindromic in base 9 and base 12.

14924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14896 and 14905.

It is not an unprimeable number, because it can be changed into a prime (14923) 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, 344 + ... + 384.

It is an arithmetic number, because the mean of its divisors is an integer number (1372).

2¹⁴⁹²⁴ is an apocalyptic number.

14924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16464).

14924 is an abundant number, since it is smaller than the sum of its proper divisors (18004).

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

14924 is a wasteful number, since it uses less digits than its factorization.

14924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 63 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 14924 is about 122.1638244326. The cubic root of 14924 is about 24.6203986180.

The spelling of 14924 in words is "fourteen thousand, nine hundred twenty-four".