8813 has 4 divisors (see below), whose sum is σ = 10080. Its totient is φ = 7548.

The previous prime is 8807. The next prime is 8819. The reversal of 8813 is 3188.

8813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (8807) and next prime (8819).

It is a cyclic number.

It is not a de Polignac number, because 8813 - 2¹⁰ = 7789 is a prime.

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

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

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, 623 + ... + 636.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2⁸⁸¹³ is an apocalyptic number.

It is an amenable number.

8813 is a deficient number, since it is larger than the sum of its proper divisors (1267).

8813 is a wasteful number, since it uses less digits than its factorization.

8813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266.

The product of its digits is 192, while the sum is 20.

The square root of 8813 is about 93.8775798580. The cubic root of 8813 is about 20.6557637021.

Subtracting from 8813 its reverse (3188), we obtain a square (5625 = 75²).

It can be divided in two parts, 88 and 13, that added together give a palindrome (101).

The spelling of 8813 in words is "eight thousand, eight hundred thirteen".