322112 has 28 divisors (see below), whose sum is σ = 731520. Its totient is φ = 137856.

The previous prime is 322111. The next prime is 322139. The reversal of 322112 is 211223.

It is a happy number.

322112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×322112² = 207512281088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 322093 and 322102.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 322112.

It is not an unprimeable number, because it can be changed into a prime (322111) 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 3 ways as a sum of consecutive naturals, for example, 89 + ... + 807.

2³²²¹¹² is an apocalyptic number.

322112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365760).

322112 is an abundant number, since it is smaller than the sum of its proper divisors (409408).

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

322112 is an equidigital number, since it uses as much as digits as its factorization.

322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 728 counting only the distinct ones).

The product of its digits is 24, while the sum is 11.

The square root of 322112 is about 567.5491168172. The cubic root of 322112 is about 68.5491859076.

Adding to 322112 its reverse (211223), we get a palindrome (533335).

Subtracting from 322112 its reverse (211223), we obtain a square (110889 = 333²).

It can be divided in two parts, 322 and 112, that added together give a palindrome (434).

The spelling of 322112 in words is "three hundred twenty-two thousand, one hundred twelve", and thus it is an iban number.