223281 has 6 divisors (see below), whose sum is σ = 322530. Its totient is φ = 148848.

The previous prime is 223277. The next prime is 223283. The reversal of 223281 is 182322.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 216225 + 7056 = 465^2 + 84^2 .

It is not a de Polignac number, because 223281 - 2² = 223277 is a prime.

It is a super-3 number, since 3×223281³ = 33394624182291123, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 223281.

It is not an unprimeable number, because it can be changed into a prime (223283) 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, 12396 + ... + 12413.

It is an arithmetic number, because the mean of its divisors is an integer number (53755).

2²²³²⁸¹ is an apocalyptic number.

It is an amenable number.

223281 is a deficient number, since it is larger than the sum of its proper divisors (99249).

223281 is a wasteful number, since it uses less digits than its factorization.

223281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24815 (or 24812 counting only the distinct ones).

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

The square root of 223281 is about 472.5261897504. The cubic root of 223281 is about 60.6667304002. Note that the first 3 decimals are identical.

The spelling of 223281 in words is "two hundred twenty-three thousand, two hundred eighty-one".