90085 has 8 divisors (see below), whose sum is σ = 110880. Its totient is φ = 70224.

The previous prime is 90073. The next prime is 90089. The reversal of 90085 is 58009.

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 90085 - 2⁵ = 90053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90089) 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, 6 + ... + 424.

It is an arithmetic number, because the mean of its divisors is an integer number (13860).

2⁹⁰⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

90085 is a deficient number, since it is larger than the sum of its proper divisors (20795).

90085 is a wasteful number, since it uses less digits than its factorization.

90085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 90085 is about 300.1416332334. The cubic root of 90085 is about 44.8281511525.

The spelling of 90085 in words is "ninety thousand, eighty-five".