8826 has 8 divisors (see below), whose sum is σ = 17664. Its totient is φ = 2940.

The previous prime is 8821. The next prime is 8831. The reversal of 8826 is 6288.

8826 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8821) and next prime (8831).

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

8826 is an admirable number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 8796 and 8805.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8826.

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

8826 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 730 + ... + 741.

It is an arithmetic number, because the mean of its divisors is an integer number (2208).

2⁸⁸²⁶ is an apocalyptic number.

8826 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 (8832).

8826 is a wasteful number, since it uses less digits than its factorization.

8826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476.

The product of its digits is 768, while the sum is 24.

The square root of 8826 is about 93.9467934525. The cubic root of 8826 is about 20.6659151074.

It can be divided in two parts, 882 and 6, that added together give a palindrome (888).

The spelling of 8826 in words is "eight thousand, eight hundred twenty-six".