321228 has 18 divisors (see below), whose sum is σ = 812084. Its totient is φ = 107064.

The previous prime is 321227. The next prime is 321239. The reversal of 321228 is 822123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×321228³ = 99440073349333056, which contains 333 as substring.

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

It is a d-powerful number, because it can be written as 3¹⁰ + 2 + 2⁴ + 1 + 2⁴ + 8⁶ .

It is a self number, because there is not a number n which added to its sum of digits gives 321228.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321228.

It is not an unprimeable number, because it can be changed into a prime (321221) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4426 + ... + 4497.

2³²¹²²⁸ is an apocalyptic number.

It is an amenable number.

321228 is an abundant number, since it is smaller than the sum of its proper divisors (490856).

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

321228 is a wasteful number, since it uses less digits than its factorization.

321228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8933 (or 8928 counting only the distinct ones).

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

The square root of 321228 is about 566.7697945374. The cubic root of 321228 is about 68.4864199552.

It can be divided in two parts, 3212 and 28, that added together give a triangular number (3240 = T₈₀).

The spelling of 321228 in words is "three hundred twenty-one thousand, two hundred twenty-eight".