22333 has 4 divisors (see below), whose sum is σ = 23328. Its totient is φ = 21340.

The previous prime is 22307. The next prime is 22343. The reversal of 22333 is 33322.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 33322 = 2 ⋅16661.

It is a cyclic number.

It is not a de Polignac number, because 22333 - 2⁹ = 21821 is a prime.

It is a d-powerful number, because it can be written as 2⁹ + 2¹¹ + 3² + 3⁴ + 3⁹ .

It is a Duffinian number.

22333 is a modest number, since divided by 333 gives 22 as remainder.

22333 is a lucky number.

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22303) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 463 + ... + 508.

It is an arithmetic number, because the mean of its divisors is an integer number (5832).

2²²³³³ is an apocalyptic number.

22333 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

22333 is a deficient number, since it is larger than the sum of its proper divisors (995).

22333 is an equidigital number, since it uses as much as digits as its factorization.

22333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994.

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

The square root of 22333 is about 149.4422965562. The cubic root of 22333 is about 28.1610615614.

Adding to 22333 its reverse (33322), we get a palindrome (55655).

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

The spelling of 22333 in words is "twenty-two thousand, three hundred thirty-three".