20233 has 2 divisors, whose sum is σ = 20234. Its totient is φ = 20232.

The previous prime is 20231. The next prime is 20249. The reversal of 20233 is 33202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17424 + 2809 = 132^2 + 53^2 .

It is a cyclic number.

It is not a de Polignac number, because 20233 - 2¹ = 20231 is a prime.

Together with 20231, it forms a pair of twin primes.

It is a nialpdrome in base 12 and base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20231) 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, 10116 + 10117.

It is an arithmetic number, because the mean of its divisors is an integer number (10117).

2²⁰²³³ is an apocalyptic number.

It is an amenable number.

20233 is a deficient number, since it is larger than the sum of its proper divisors (1).

20233 is an equidigital number, since it uses as much as digits as its factorization.

20233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 20233 is about 142.2427502546. The cubic root of 20233 is about 27.2491793373.

Adding to 20233 its reverse (33202), we get a palindrome (53435).

It can be divided in two parts, 202 and 33, that multiplied together give a palindrome (6666).

The spelling of 20233 in words is "twenty thousand, two hundred thirty-three".