90117 has 24 divisors (see below), whose sum is σ = 149760. Its totient is φ = 51840.

The previous prime is 90107. The next prime is 90121. The reversal of 90117 is 71109.

It is not a de Polignac number, because 90117 - 2⁶ = 90053 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 90117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2892 + ... + 2922.

It is an arithmetic number, because the mean of its divisors is an integer number (6240).

2⁹⁰¹¹⁷ is an apocalyptic number.

It is an amenable number.

90117 is a deficient number, since it is larger than the sum of its proper divisors (59643).

90117 is a wasteful number, since it uses less digits than its factorization.

90117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 90117 is about 300.1949366662. The cubic root of 90117 is about 44.8334584771.

The spelling of 90117 in words is "ninety thousand, one hundred seventeen".