22527 has 6 divisors (see below), whose sum is σ = 32552. Its totient is φ = 15012.

The previous prime is 22511. The next prime is 22531. The reversal of 22527 is 72522.

It is a happy number.

It is not a de Polignac number, because 22527 - 2⁴ = 22511 is a prime.

It is a Duffinian number.

22527 is a lucky number.

It is a plaindrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22567) by changing a digit.

Being equal to 11×2¹¹-1, it is a Woodall number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1243 + ... + 1260.

2²²⁵²⁷ is an apocalyptic number.

22527 is a deficient number, since it is larger than the sum of its proper divisors (10025).

22527 is a wasteful number, since it uses less digits than its factorization.

22527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2506 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 22527 is about 150.0899730162. The cubic root of 22527 is about 28.2423687848.

It can be divided in two parts, 225 and 27, that added together give a palindrome (252).

The spelling of 22527 in words is "twenty-two thousand, five hundred twenty-seven".