331122 has 32 divisors (see below), whose sum is σ = 751680. Its totient is φ = 96320.

The previous prime is 331099. The next prime is 331127. The reversal of 331122 is 221133.

It is a happy number.

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

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 331098 and 331107.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 331122.

It is not an unprimeable number, because it can be changed into a prime (331127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1828 + ... + 2000.

It is an arithmetic number, because the mean of its divisors is an integer number (23490).

2³³¹¹²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375840).

331122 is an abundant number, since it is smaller than the sum of its proper divisors (420558).

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

331122 is a wasteful number, since it uses less digits than its factorization.

331122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218.

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

The square root of 331122 is about 575.4320116226. The cubic root of 331122 is about 69.1824618368.

Adding to 331122 its reverse (221133), we get a palindrome (552255).

It can be divided in two parts, 3311 and 22, that added together give a palindrome (3333).

The spelling of 331122 in words is "three hundred thirty-one thousand, one hundred twenty-two".