90365 has 16 divisors (see below), whose sum is σ = 124416. Its totient is φ = 62400.

The previous prime is 90359. The next prime is 90371. The reversal of 90365 is 56309.

It is an interprime number because it is at equal distance from previous prime (90359) and next prime (90371).

It is not a de Polignac number, because 90365 - 2¹² = 86269 is a prime.

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

It is a Duffinian number.

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 90365.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90365.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1679 + ... + 1731.

It is an arithmetic number, because the mean of its divisors is an integer number (7776).

2⁹⁰³⁶⁵ is an apocalyptic number.

It is an amenable number.

90365 is a deficient number, since it is larger than the sum of its proper divisors (34051).

90365 is a wasteful number, since it uses less digits than its factorization.

90365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 90365 is about 300.6077177985. The cubic root of 90365 is about 44.8745477048.

The spelling of 90365 in words is "ninety thousand, three hundred sixty-five".