330132 has 48 divisors (see below), whose sum is σ = 874944. Its totient is φ = 96000.

The previous prime is 330131. The next prime is 330133. The reversal of 330132 is 231033.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (330131) and next prime (330133).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330131) 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 15 ways as a sum of consecutive naturals, for example, 5382 + ... + 5442.

It is an arithmetic number, because the mean of its divisors is an integer number (18228).

2³³⁰¹³² 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 330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472).

330132 is an abundant number, since it is smaller than the sum of its proper divisors (544812).

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

330132 is a wasteful number, since it uses less digits than its factorization.

330132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 118 counting only the distinct ones).

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

The square root of 330132 is about 574.5711444199. The cubic root of 330132 is about 69.1134449695.

Subtracting from 330132 its product of nonzero digits (54), we obtain a triangular number (330078 = T₈₁₂).

Adding to 330132 its reverse (231033), we get a palindrome (561165).

Subtracting from 330132 its reverse (231033), we obtain a palindrome (99099).

It can be divided in two parts, 3301 and 32, that added together give a palindrome (3333).

The spelling of 330132 in words is "three hundred thirty thousand, one hundred thirty-two".