24563 has 12 divisors (see below), whose sum is σ = 31920. Its totient is φ = 18480.

The previous prime is 24551. The next prime is 24571. The reversal of 24563 is 36542.

It is not a de Polignac number, because 24563 - 2⁴ = 24547 is a prime.

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

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 833 + ... + 861.

It is an arithmetic number, because the mean of its divisors is an integer number (2660).

2²⁴⁵⁶³ is an apocalyptic number.

24563 is a deficient number, since it is larger than the sum of its proper divisors (7357).

24563 is a wasteful number, since it uses less digits than its factorization.

24563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 47 counting only the distinct ones).

The product of its digits is 720, while the sum is 20.

The square root of 24563 is about 156.7258753365. The cubic root of 24563 is about 29.0688021559.

The spelling of 24563 in words is "twenty-four thousand, five hundred sixty-three".