221233 has 2 divisors, whose sum is σ = 221234. Its totient is φ = 221232.

The previous prime is 221227. The next prime is 221239. The reversal of 221233 is 332122.

It is a happy number.

221233 is nontrivially palindromic in base 14.

It is a balanced prime because it is at equal distance from previous prime (221227) and next prime (221239).

It can be written as a sum of positive squares in only one way, i.e., 219024 + 2209 = 468^2 + 47^2 .

It is a cyclic number.

It is not a de Polignac number, because 221233 - 2⁵ = 221201 is a prime.

It is not a weakly prime, because it can be changed into another prime (221239) 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 as a sum of consecutive naturals, namely, 110616 + 110617.

It is an arithmetic number, because the mean of its divisors is an integer number (110617).

2²²¹²³³ is an apocalyptic number.

It is an amenable number.

221233 is a deficient number, since it is larger than the sum of its proper divisors (1).

221233 is an equidigital number, since it uses as much as digits as its factorization.

221233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 13.

The square root of 221233 is about 470.3541219124. The cubic root of 221233 is about 60.4806759312.

Adding to 221233 its reverse (332122), we get a palindrome (553355).

Subtracting 221233 from its reverse (332122), we obtain a square (110889 = 333²).

It can be divided in two parts, 221 and 233, that added together give a palindrome (454).

The spelling of 221233 in words is "two hundred twenty-one thousand, two hundred thirty-three".