8814 has 16 divisors (see below), whose sum is σ = 19152. Its totient is φ = 2688.

The previous prime is 8807. The next prime is 8819. The reversal of 8814 is 4188.

8814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

8814 is an undulating number in base 15.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8814.

It is not an unprimeable number, because it can be changed into a prime (8819) by changing a digit.

8814 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 7 ways as a sum of consecutive naturals, for example, 22 + ... + 134.

It is an arithmetic number, because the mean of its divisors is an integer number (1197).

2⁸⁸¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576).

8814 is an abundant number, since it is smaller than the sum of its proper divisors (10338).

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

8814 is a wasteful number, since it uses less digits than its factorization.

8814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131.

The product of its digits is 256, while the sum is 21.

The square root of 8814 is about 93.8829057923. The cubic root of 8814 is about 20.6565449337.

Subtracting from 8814 its product of digits (256), we obtain a palindrome (8558).

The spelling of 8814 in words is "eight thousand, eight hundred fourteen".