228321 has 12 divisors (see below), whose sum is σ = 344448. Its totient is φ = 145464.

The previous prime is 228311. The next prime is 228331. The reversal of 228321 is 123822.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (228311) and next prime (228331).

It is not a de Polignac number, because 228321 - 2⁶ = 228257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 228294 and 228303.

It is not an unprimeable number, because it can be changed into a prime (228301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345 + ... + 758.

It is an arithmetic number, because the mean of its divisors is an integer number (28704).

2²²⁸³²¹ is an apocalyptic number.

It is an amenable number.

228321 is a deficient number, since it is larger than the sum of its proper divisors (116127).

228321 is a wasteful number, since it uses less digits than its factorization.

228321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1129 counting only the distinct ones).

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

The square root of 228321 is about 477.8294674881. The cubic root of 228321 is about 61.1198039670.

It can be divided in two parts, 2283 and 21, that added together give a square (2304 = 48²).

The spelling of 228321 in words is "two hundred twenty-eight thousand, three hundred twenty-one".