329112 has 48 divisors (see below), whose sum is σ = 1020240. Its totient is φ = 93888.

The previous prime is 329111. The next prime is 329123. The reversal of 329112 is 211923.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a plaindrome in base 15.

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 329112.

It is not an unprimeable number, because it can be changed into a prime (329111) 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 11 ways as a sum of consecutive naturals, for example, 178 + ... + 830.

It is an arithmetic number, because the mean of its divisors is an integer number (21255).

2³²⁹¹¹² 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 329112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510120).

329112 is an abundant number, since it is smaller than the sum of its proper divisors (691128).

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

329112 is a wasteful number, since it uses less digits than its factorization.

329112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 665 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 329112 is about 573.6828392065. The cubic root of 329112 is about 69.0421922164.

It can be divided in two parts, 329 and 112, that added together give a square (441 = 21²).

The spelling of 329112 in words is "three hundred twenty-nine thousand, one hundred twelve".