23824 has 10 divisors (see below), whose sum is σ = 46190. Its totient is φ = 11904.

The previous prime is 23819. The next prime is 23827. The reversal of 23824 is 42832.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 17424 + 6400 = 132^2 + 80^2 .

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (23827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 729 + ... + 760.

It is an arithmetic number, because the mean of its divisors is an integer number (4619).

2²³⁸²⁴ is an apocalyptic number.

It is an amenable number.

23824 is a deficient number, since it is larger than the sum of its proper divisors (22366).

23824 is a wasteful number, since it uses less digits than its factorization.

23824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1491 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 23824 is about 154.3502510526. The cubic root of 23824 is about 28.7743083638.

It can be divided in two parts, 238 and 24, that added together give a palindrome (262).

The spelling of 23824 in words is "twenty-three thousand, eight hundred twenty-four".