8805 has 8 divisors (see below), whose sum is σ = 14112. Its totient is φ = 4688.

The previous prime is 8803. The next prime is 8807. The reversal of 8805 is 5088.

8805 = 13² + 14² + ... + 30².

It is an interprime number because it is at equal distance from previous prime (8803) and next prime (8807).

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

It is a cyclic number.

It is not a de Polignac number, because 8805 - 2¹ = 8803 is a prime.

8805 is a lucky number.

It is a plaindrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8803) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279 + ... + 308.

It is an arithmetic number, because the mean of its divisors is an integer number (1764).

2⁸⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

8805 is a deficient number, since it is larger than the sum of its proper divisors (5307).

8805 is a wasteful number, since it uses less digits than its factorization.

8805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595.

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 8805 is about 93.8349615016. The cubic root of 8805 is about 20.6495117208.

The spelling of 8805 in words is "eight thousand, eight hundred five".