24132 has 12 divisors (see below), whose sum is σ = 56336. Its totient is φ = 8040.

The previous prime is 24121. The next prime is 24133. The reversal of 24132 is 23142.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 2011 = 24132 / (2 + 4 + 1 + 3 + 2).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (24133) 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 3 ways as a sum of consecutive naturals, for example, 994 + ... + 1017.

2²⁴¹³² is an apocalyptic number.

It is an amenable number.

24132 is an abundant number, since it is smaller than the sum of its proper divisors (32204).

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 (28168).

24132 is a wasteful number, since it uses less digits than its factorization.

24132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2016 counting only the distinct ones).

The product of its digits is 48, while the sum is 12.

The square root of 24132 is about 155.3447778331. The cubic root of 24132 is about 28.8977772343.

Adding to 24132 its reverse (23142), we get a palindrome (47274).

Subtracting from 24132 its reverse (23142), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 2413 and 2, that added together give a triangular number (2415 = T₆₉).

The spelling of 24132 in words is "twenty-four thousand, one hundred thirty-two".