90985 has 8 divisors (see below), whose sum is σ = 112896. Its totient is φ = 70320.

The previous prime is 90977. The next prime is 90989. The reversal of 90985 is 58909.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 90985 - 2³ = 90977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90989) 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, 139 + ... + 448.

It is an arithmetic number, because the mean of its divisors is an integer number (14112).

2⁹⁰⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

90985 is a deficient number, since it is larger than the sum of its proper divisors (21911).

90985 is a wasteful number, since it uses less digits than its factorization.

90985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623.

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

The square root of 90985 is about 301.6371992974. The cubic root of 90985 is about 44.9769429206.

The spelling of 90985 in words is "ninety thousand, nine hundred eighty-five".