89905 has 4 divisors (see below), whose sum is σ = 107892. Its totient is φ = 71920.

The previous prime is 89899. The next prime is 89909. The reversal of 89905 is 50998.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 69169 + 20736 = 263^2 + 144^2 .

It is not a de Polignac number, because 89905 - 2³ = 89897 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

89905 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (89909) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8986 + ... + 8995.

It is an arithmetic number, because the mean of its divisors is an integer number (26973).

2⁸⁹⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

89905 is a deficient number, since it is larger than the sum of its proper divisors (17987).

89905 is a wasteful number, since it uses less digits than its factorization.

89905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17986.

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 89905 is about 299.8416248622. The cubic root of 89905 is about 44.7982740088.

The spelling of 89905 in words is "eighty-nine thousand, nine hundred five".