22529 has 4 divisors (see below), whose sum is σ = 24276. Its totient is φ = 20784.

The previous prime is 22511. The next prime is 22531. The reversal of 22529 is 92522.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 92522 = 2 ⋅46261.

It can be written as a sum of positive squares in 2 ways, for example, as 6400 + 16129 = 80^2 + 127^2 .

It is a cyclic number.

It is a Cullen number, since it is equal to 11×2¹¹+1.

It is not a de Polignac number, because 22529 - 2⁸ = 22273 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22529.

It is not an unprimeable number, because it can be changed into a prime (22549) 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, 854 + ... + 879.

It is an arithmetic number, because the mean of its divisors is an integer number (6069).

It is a Proth number, since it is equal to 11 ⋅ 2¹¹ + 1 and 11 < 2¹¹.

2²²⁵²⁹ is an apocalyptic number.

It is an amenable number.

22529 is a deficient number, since it is larger than the sum of its proper divisors (1747).

22529 is a wasteful number, since it uses less digits than its factorization.

22529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746.

The product of its digits is 360, while the sum is 20.

The square root of 22529 is about 150.0966355386. The cubic root of 22529 is about 28.2432045680.

The spelling of 22529 in words is "twenty-two thousand, five hundred twenty-nine".