24957 has 12 divisors (see below), whose sum is σ = 37440. Its totient is φ = 16008.

The previous prime is 24953. The next prime is 24967. The reversal of 24957 is 75942.

It is not a de Polignac number, because 24957 - 2² = 24953 is a prime.

24957 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 24957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24953) 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, 394 + ... + 452.

It is an arithmetic number, because the mean of its divisors is an integer number (3120).

2²⁴⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

24957 is a deficient number, since it is larger than the sum of its proper divisors (12483).

24957 is a wasteful number, since it uses less digits than its factorization.

24957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 109 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 24957 is about 157.9778465482. The cubic root of 24957 is about 29.2234033930.

The spelling of 24957 in words is "twenty-four thousand, nine hundred fifty-seven".