89805 has 8 divisors (see below), whose sum is σ = 143712. Its totient is φ = 47888.

The previous prime is 89797. The next prime is 89809. The reversal of 89805 is 50898.

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 89805 - 2³ = 89797 is a prime.

89805 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2979 + ... + 3008.

It is an arithmetic number, because the mean of its divisors is an integer number (17964).

2⁸⁹⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

89805 is a deficient number, since it is larger than the sum of its proper divisors (53907).

89805 is a wasteful number, since it uses less digits than its factorization.

89805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5995.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 89805 is about 299.6748237674. The cubic root of 89805 is about 44.7816583612.

The spelling of 89805 in words is "eighty-nine thousand, eight hundred five".