328221 has 6 divisors (see below), whose sum is σ = 474110. Its totient is φ = 218808.

The previous prime is 328213. The next prime is 328243. The reversal of 328221 is 122823.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 260100 + 68121 = 510^2 + 261^2 .

It is not a de Polignac number, because 328221 - 2³ = 328213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 328194 and 328203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328271) 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 5 ways as a sum of consecutive naturals, for example, 18226 + ... + 18243.

2³²⁸²²¹ is an apocalyptic number.

It is an amenable number.

328221 is a deficient number, since it is larger than the sum of its proper divisors (145889).

328221 is a wasteful number, since it uses less digits than its factorization.

328221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36475 (or 36472 counting only the distinct ones).

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

The square root of 328221 is about 572.9057514112. The cubic root of 328221 is about 68.9798302735.

It can be divided in two parts, 32822 and 1, that added together give a palindrome (32823).

The spelling of 328221 in words is "three hundred twenty-eight thousand, two hundred twenty-one".