8905 has 8 divisors (see below), whose sum is σ = 11592.
Its totient is φ = 6528.
The previous prime is 8893. The next prime is 8923. The reversal of 8905 is 5098.
It can be written as a sum of positive squares in 4 ways, for example, as 256 + 8649 = 16^2 + 93^2
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 8905 - 211 = 6857 is a prime.
It is an alternating number because its digits alternate between even and odd.
It is a Duffinian number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4 + ... + 133.
It is an arithmetic number, because the mean of its divisors is an integer number (1449).
28905 is an apocalyptic number.
It is an amenable number.
8905 is a deficient number, since it is larger than the sum of its proper divisors (2687).
8905 is a wasteful number, since it uses less digits than its factorization.
8905 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 155.
The product of its (nonzero) digits is 360, while the sum is 22.
The square root of 8905 is about 94.3663075467.
The cubic root of 8905 is about 20.7273910614.
The spelling of 8905 in words is "eight thousand, nine hundred five".