90165 has 8 divisors (see below), whose sum is σ = 144288. Its totient is φ = 48080.

The previous prime is 90163. The next prime is 90173. The reversal of 90165 is 56109.

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

It is not a de Polignac number, because 90165 - 2¹ = 90163 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2991 + ... + 3020.

It is an arithmetic number, because the mean of its divisors is an integer number (18036).

2⁹⁰¹⁶⁵ is an apocalyptic number.

It is an amenable number.

90165 is a deficient number, since it is larger than the sum of its proper divisors (54123).

90165 is a wasteful number, since it uses less digits than its factorization.

90165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 90165 is about 300.2748740737. The cubic root of 90165 is about 44.8414171088.

The spelling of 90165 in words is "ninety thousand, one hundred sixty-five".