22827 has 8 divisors (see below), whose sum is σ = 34816. Its totient is φ = 13032.

The previous prime is 22817. The next prime is 22853. The reversal of 22827 is 72822.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 22827 - 2⁴ = 22811 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 1087 = 22827 / (2 + 2 + 8 + 2 + 7).

It is a Duffinian number.

22827 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (22807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 523 + ... + 564.

It is an arithmetic number, because the mean of its divisors is an integer number (4352).

2²²⁸²⁷ is an apocalyptic number.

22827 is a deficient number, since it is larger than the sum of its proper divisors (11989).

22827 is a wasteful number, since it uses less digits than its factorization.

22827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097.

The product of its digits is 448, while the sum is 21.

The square root of 22827 is about 151.0860681863. The cubic root of 22827 is about 28.3671875223.

The spelling of 22827 in words is "twenty-two thousand, eight hundred twenty-seven".