24993 has 6 divisors (see below), whose sum is σ = 36114. Its totient is φ = 16656.

The previous prime is 24989. The next prime is 25013. The reversal of 24993 is 39942.

It can be written as a sum of positive squares in only one way, i.e., 17424 + 7569 = 132^2 + 87^2 .

It is not a de Polignac number, because 24993 - 2² = 24989 is a prime.

It is an Ulam number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24923) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1380 + ... + 1397.

It is an arithmetic number, because the mean of its divisors is an integer number (6019).

2²⁴⁹⁹³ is an apocalyptic number.

It is an amenable number.

24993 is a deficient number, since it is larger than the sum of its proper divisors (11121).

24993 is a wasteful number, since it uses less digits than its factorization.

24993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2780 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 24993 is about 158.0917455151. The cubic root of 24993 is about 29.2374480442.

It can be divided in two parts, 24 and 993, that multiplied together give a palindrome (23832).

The spelling of 24993 in words is "twenty-four thousand, nine hundred ninety-three".