27822 has 8 divisors (see below), whose sum is σ = 55656. Its totient is φ = 9272.

The previous prime is 27817. The next prime is 27823. The reversal of 27822 is 22872.

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

27822 is an admirable number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27823) by changing a digit.

27822 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2313 + ... + 2324.

It is an arithmetic number, because the mean of its divisors is an integer number (6957).

2²⁷⁸²² is an apocalyptic number.

27822 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27828).

27822 is a wasteful number, since it uses less digits than its factorization.

27822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642.

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

The square root of 27822 is about 166.7992805740. The cubic root of 27822 is about 30.3014061150.

Subtracting from 27822 its reverse (22872), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 278 and 22, that multiplied together give a palindrome (6116).

The spelling of 27822 in words is "twenty-seven thousand, eight hundred twenty-two".