24882 has 32 divisors (see below), whose sum is σ = 60480. Its totient is φ = 6720.

The previous prime is 24877. The next prime is 24889. The reversal of 24882 is 28842.

It is a super-2 number, since 2×24882² = 1238227848, which contains 22 as substring.

It is a nialpdrome in base 6 and base 13.

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

24882 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 844 + ... + 872.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

2²⁴⁸⁸² is an apocalyptic number.

24882 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240).

24882 is an abundant number, since it is smaller than the sum of its proper divisors (35598).

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

24882 is a wasteful number, since it uses less digits than its factorization.

24882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58.

The product of its digits is 1024, while the sum is 24.

The square root of 24882 is about 157.7402928868. The cubic root of 24882 is about 29.1941002655.

It can be divided in two parts, 2 and 4882, that added together give a palindrome (4884).

The spelling of 24882 in words is "twenty-four thousand, eight hundred eighty-two".