8824 has 8 divisors (see below), whose sum is σ = 16560. Its totient is φ = 4408.

The previous prime is 8821. The next prime is 8831. The reversal of 8824 is 4288.

It is a tau number, because it is divible by the number of its divisors (8).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 16.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 8795 and 8804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 544 + ... + 559.

It is an arithmetic number, because the mean of its divisors is an integer number (2070).

2⁸⁸²⁴ is an apocalyptic number.

It is an amenable number.

8824 is a deficient number, since it is larger than the sum of its proper divisors (7736).

8824 is a wasteful number, since it uses less digits than its factorization.

8824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1105 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

The square root of 8824 is about 93.9361485265. The cubic root of 8824 is about 20.6643540018.

It can be divided in two parts, 88 and 24, that multiplied together give a palindrome (2112).

The spelling of 8824 in words is "eight thousand, eight hundred twenty-four".