90005 has 8 divisors (see below), whose sum is σ = 110592. Its totient is φ = 70288.

The previous prime is 90001. The next prime is 90007. The reversal of 90005 is 50009.

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 90005 - 2² = 90001 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90001) 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, 44 + ... + 426.

It is an arithmetic number, because the mean of its divisors is an integer number (13824).

2⁹⁰⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

90005 is a deficient number, since it is larger than the sum of its proper divisors (20587).

90005 is a wasteful number, since it uses less digits than its factorization.

90005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435.

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 90005 is about 300.0083332176. The cubic root of 90005 is about 44.8148773400.

The spelling of 90005 in words is "ninety thousand, five".