90185 has 8 divisors (see below), whose sum is σ = 114696. Its totient is φ = 67840.

The previous prime is 90173. The next prime is 90187. The reversal of 90185 is 58109.

It can be written as a sum of positive squares in 4 ways, for example, as 24649 + 65536 = 157^2 + 256^2 .

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

It is not a de Polignac number, because 90185 - 2⁶ = 90121 is a prime.

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

It is a Duffinian number.

90185 is a modest number, since divided by 185 gives 90 as remainder.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 90185.

It is not an unprimeable number, because it can be changed into a prime (90187) 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, 446 + ... + 615.

It is an arithmetic number, because the mean of its divisors is an integer number (14337).

2⁹⁰¹⁸⁵ is an apocalyptic number.

It is an amenable number.

90185 is a deficient number, since it is larger than the sum of its proper divisors (24511).

90185 is a wasteful number, since it uses less digits than its factorization.

90185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083.

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 90185 is about 300.3081750469. The cubic root of 90185 is about 44.8447323717.

The spelling of 90185 in words is "ninety thousand, one hundred eighty-five".