24852 has 24 divisors (see below), whose sum is σ = 61600. Its totient is φ = 7776.

The previous prime is 24851. The next prime is 24859. The reversal of 24852 is 25842.

24852 is nontrivially palindromic in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174 + ... + 282.

2²⁴⁸⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30800).

24852 is an abundant number, since it is smaller than the sum of its proper divisors (36748).

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

24852 is a wasteful number, since it uses less digits than its factorization.

24852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 133 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 24852 is about 157.6451711915. The cubic root of 24852 is about 29.1823625269.

Subtracting 24852 from its reverse (25842), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 248 and 52, that added together give a triangular number (300 = T₂₄).

The spelling of 24852 in words is "twenty-four thousand, eight hundred fifty-two".