33223 has 2 divisors, whose sum is σ = 33224. Its totient is φ = 33222.

The previous prime is 33211. The next prime is 33247. The reversal of 33223 is 32233.

It is a weak prime.

It is an emirp because it is prime and its reverse (32233) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33223 - 2⁵ = 33191 is a prime.

It is a super-2 number, since 2×33223² = 2207535458, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3 + 3⁴ + 2⁷ + 2¹⁵ + 3⁵ .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33203) 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, 16611 + 16612.

It is an arithmetic number, because the mean of its divisors is an integer number (16612).

2³³²²³ is an apocalyptic number.

33223 is a deficient number, since it is larger than the sum of its proper divisors (1).

33223 is an equidigital number, since it uses as much as digits as its factorization.

33223 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108, while the sum is 13.

The square root of 33223 is about 182.2717751052. The cubic root of 33223 is about 32.1474316828.

Adding to 33223 its reverse (32233), we get a palindrome (65456).

Subtracting from 33223 its reverse (32233), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 33 and 223, that added together give a 8-th power (256 = 2⁸).

The spelling of 33223 in words is "thirty-three thousand, two hundred twenty-three".