33132 has 24 divisors (see below), whose sum is σ = 84672. Its totient is φ = 10000.

The previous prime is 33119. The next prime is 33149. The reversal of 33132 is 23133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33132.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7 + ... + 257.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

2³³¹³² 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 33132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336).

33132 is an abundant number, since it is smaller than the sum of its proper divisors (51540).

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

33132 is a wasteful number, since it uses less digits than its factorization.

33132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 267 counting only the distinct ones).

The product of its digits is 54, while the sum is 12.

The square root of 33132 is about 182.0219766951. The cubic root of 33132 is about 32.1180535279.

Adding to 33132 its reverse (23133), we get a palindrome (56265).

Subtracting from 33132 its reverse (23133), we obtain a palindrome (9999).

It can be divided in two parts, 331 and 32, that added together give a palindrome (363).

The spelling of 33132 in words is "thirty-three thousand, one hundred thirty-two".