22633 has 4 divisors (see below), whose sum is σ = 24388. Its totient is φ = 20880.

The previous prime is 22621. The next prime is 22637. The reversal of 22633 is 33622.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 33622 = 2 ⋅16811.

It can be written as a sum of positive squares in 2 ways, for example, as 1024 + 21609 = 32^2 + 147^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22633 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22637) 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 in 3 ways as a sum of consecutive naturals, for example, 858 + ... + 883.

It is an arithmetic number, because the mean of its divisors is an integer number (6097).

2²²⁶³³ is an apocalyptic number.

It is an amenable number.

22633 is a deficient number, since it is larger than the sum of its proper divisors (1755).

22633 is a wasteful number, since it uses less digits than its factorization.

22633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754.

The product of its digits is 216, while the sum is 16.

The square root of 22633 is about 150.4426801144. The cubic root of 22633 is about 28.2865973070.

The spelling of 22633 in words is "twenty-two thousand, six hundred thirty-three".