332112 has 80 divisors (see below), whose sum is σ = 1017792. Its totient is φ = 92160.

The previous prime is 332099. The next prime is 332113. The reversal of 332112 is 211233.

It is a happy number.

It is a super-2 number, since 2×332112² = 220596761088, which contains 22 as substring.

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 a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 332112.

It is not an unprimeable number, because it can be changed into a prime (332113) by changing a digit.

332112 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, 8958 + ... + 8994.

2³³²¹¹² 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 332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508896).

332112 is an abundant number, since it is smaller than the sum of its proper divisors (685680).

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

332112 is a wasteful number, since it uses less digits than its factorization.

332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 70 counting only the distinct ones).

The product of its digits is 36, while the sum is 12.

The square root of 332112 is about 576.2915928590. The cubic root of 332112 is about 69.2513412748.

Adding to 332112 its reverse (211233), we get a palindrome (543345).

It can be divided in two parts, 3321 and 12, that added together give a palindrome (3333).

The spelling of 332112 in words is "three hundred thirty-two thousand, one hundred twelve".