22133 has 2 divisors, whose sum is σ = 22134. Its totient is φ = 22132.

The previous prime is 22129. The next prime is 22147. The reversal of 22133 is 33122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18769 + 3364 = 137^2 + 58^2 .

It is a cyclic number.

It is not a de Polignac number, because 22133 - 2² = 22129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11066 + 11067.

It is an arithmetic number, because the mean of its divisors is an integer number (11067).

2²²¹³³ is an apocalyptic number.

It is an amenable number.

22133 is a deficient number, since it is larger than the sum of its proper divisors (1).

22133 is an equidigital number, since it uses as much as digits as its factorization.

22133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36, while the sum is 11.

The square root of 22133 is about 148.7716370818. The cubic root of 22133 is about 28.0767452390.

Subtracting from 22133 its sum of digits (11), we obtain a palindrome (22122).

Adding to 22133 its reverse (33122), we get a palindrome (55255).

It can be divided in two parts, 22 and 133, that multiplied together give a triangular number (2926 = T₇₆).

The spelling of 22133 in words is "twenty-two thousand, one hundred thirty-three".