24538 has 4 divisors (see below), whose sum is σ = 36810. Its totient is φ = 12268.

The previous prime is 24533. The next prime is 24547. The reversal of 24538 is 83542.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 83542 = 2 ⋅41771.

It can be written as a sum of positive squares in only one way, i.e., 15129 + 9409 = 123^2 + 97^2 .

It is a super-2 number, since 2×24538² = 1204226888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (24533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6133 + ... + 6136.

2²⁴⁵³⁸ is an apocalyptic number.

24538 is a deficient number, since it is larger than the sum of its proper divisors (12272).

24538 is a wasteful number, since it uses less digits than its factorization.

24538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12271.

The product of its digits is 960, while the sum is 22.

The square root of 24538 is about 156.6460979405. The cubic root of 24538 is about 29.0589368199.

The spelling of 24538 in words is "twenty-four thousand, five hundred thirty-eight".