22533 has 16 divisors (see below), whose sum is σ = 36480. Its totient is φ = 12096.

The previous prime is 22531. The next prime is 22541. The reversal of 22533 is 33522.

It is not a de Polignac number, because 22533 - 2¹ = 22531 is a prime.

It is a d-powerful number, because it can be written as 2⁶ + 2⁸ + 5⁶ + 3³ + 3⁸ .

22533 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591 + ... + 627.

It is an arithmetic number, because the mean of its divisors is an integer number (2280).

2²²⁵³³ is an apocalyptic number.

22533 is the 87-th octagonal number.

It is an amenable number.

22533 is a deficient number, since it is larger than the sum of its proper divisors (13947).

22533 is a wasteful number, since it uses less digits than its factorization.

22533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76.

The product of its digits is 180, while the sum is 15.

The square root of 22533 is about 150.1099596962. The cubic root of 22533 is about 28.2448759861.

It can be divided in two parts, 22 and 533, that added together give a palindrome (555).

The spelling of 22533 in words is "twenty-two thousand, five hundred thirty-three".