221333 has 6 divisors (see below), whose sum is σ = 257526. Its totient is φ = 189672.

The previous prime is 221327. The next prime is 221393. The reversal of 221333 is 333122.

It can be written as a sum of positive squares in only one way, i.e., 117649 + 103684 = 343^2 + 322^2 .

It is not a de Polignac number, because 221333 - 2⁴ = 221317 is a prime.

It is a Duffinian number.

221333 is a modest number, since divided by 333 gives 221 as remainder.

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 221333.

It is not an unprimeable number, because it can be changed into a prime (221303) 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, 2210 + ... + 2307.

It is an arithmetic number, because the mean of its divisors is an integer number (42921).

2²²¹³³³ is an apocalyptic number.

It is an amenable number.

221333 is a deficient number, since it is larger than the sum of its proper divisors (36193).

221333 is an equidigital number, since it uses as much as digits as its factorization.

221333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4531 (or 4524 counting only the distinct ones).

The product of its digits is 108, while the sum is 14.

The square root of 221333 is about 470.4604127873. The cubic root of 221333 is about 60.4897872250.

Adding to 221333 its reverse (333122), we get a palindrome (554455).

The spelling of 221333 in words is "two hundred twenty-one thousand, three hundred thirty-three".