24822 has 24 divisors (see below), whose sum is σ = 61776. Its totient is φ = 7056.

The previous prime is 24821. The next prime is 24841. The reversal of 24822 is 22842.

24822 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24822² = 1232263368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

24822 is an undulating number in base 14.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 24795 and 24804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28 + ... + 224.

It is an arithmetic number, because the mean of its divisors is an integer number (2574).

2²⁴⁸²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30888).

24822 is an abundant number, since it is smaller than the sum of its proper divisors (36954).

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

24822 is a wasteful number, since it uses less digits than its factorization.

24822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 209 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 24822 is about 157.5499920660. The cubic root of 24822 is about 29.1706153384.

The spelling of 24822 in words is "twenty-four thousand, eight hundred twenty-two".