22733 has 4 divisors (see below), whose sum is σ = 23040. Its totient is φ = 22428.

The previous prime is 22727. The next prime is 22739. The reversal of 22733 is 33722.

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 a brilliant number, because the two primes have the same length.

It is an interprime number because it is at equal distance from previous prime (22727) and next prime (22739).

It is a cyclic number.

It is not a de Polignac number, because 22733 - 2⁴ = 22717 is a prime.

It is a d-powerful number, because it can be written as 2³ + 2⁹ + 7³ + 3⁷ + 3⁹ .

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22739) 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, 38 + ... + 216.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

2²²⁷³³ is an apocalyptic number.

It is an amenable number.

22733 is a deficient number, since it is larger than the sum of its proper divisors (307).

22733 is a wasteful number, since it uses less digits than its factorization.

22733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306.

The product of its digits is 252, while the sum is 17.

The square root of 22733 is about 150.7746663070. The cubic root of 22733 is about 28.3281959159.

The spelling of 22733 in words is "twenty-two thousand, seven hundred thirty-three".