322128 has 30 divisors (see below), whose sum is σ = 901914. Its totient is φ = 107328.

The previous prime is 322111. The next prime is 322139. The reversal of 322128 is 821223.

It is a happy number.

322128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 304704 + 17424 = 552^2 + 132^2 .

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 self number, because there is not a number n which added to its sum of digits gives 322128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 975 + ... + 1262.

2³²²¹²⁸ is an apocalyptic number.

It is an amenable number.

322128 is an abundant number, since it is smaller than the sum of its proper divisors (579786).

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

322128 is a wasteful number, since it uses less digits than its factorization.

322128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2242 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 322128 is about 567.5632123385. The cubic root of 322128 is about 68.5503208842.

It can be divided in two parts, 3221 and 28, that added together give a square (3249 = 57²).

The spelling of 322128 in words is "three hundred twenty-two thousand, one hundred twenty-eight".