19924 has 12 divisors (see below), whose sum is σ = 37044. Its totient is φ = 9344.

The previous prime is 19919. The next prime is 19927. The reversal of 19924 is 42991.

19924 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 17424 + 2500 = 132^2 + 50^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79 + ... + 214.

It is an arithmetic number, because the mean of its divisors is an integer number (3087).

2¹⁹⁹²⁴ is an apocalyptic number.

It is an amenable number.

19924 is a deficient number, since it is larger than the sum of its proper divisors (17120).

19924 is a wasteful number, since it uses less digits than its factorization.

19924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 312 counting only the distinct ones).

The product of its digits is 648, while the sum is 25.

The square root of 19924 is about 141.1523999088. The cubic root of 19924 is about 27.1097498993.

The spelling of 19924 in words is "nineteen thousand, nine hundred twenty-four".