24885 has 24 divisors (see below), whose sum is σ = 49920. Its totient is φ = 11232.

The previous prime is 24877. The next prime is 24889. The reversal of 24885 is 58842.

24885 = 12³ + 13³ + ... + 18³.

24885 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 24885 - 2³ = 24877 is a prime.

It is a plaindrome in base 12.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276 + ... + 354.

It is an arithmetic number, because the mean of its divisors is an integer number (2080).

2²⁴⁸⁸⁵ is an apocalyptic number.

It is an amenable number.

24885 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24960).

24885 is a wasteful number, since it uses less digits than its factorization.

24885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 94 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 24885 is about 157.7498019016. The cubic root of 24885 is about 29.1952735203.

It can be divided in two parts, 248 and 85, that added together give a palindrome (333).

The spelling of 24885 in words is "twenty-four thousand, eight hundred eighty-five".