90017 has 2 divisors, whose sum is σ = 90018. Its totient is φ = 90016.

The previous prime is 90011. The next prime is 90019. The reversal of 90017 is 71009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87616 + 2401 = 296^2 + 49^2 .

It is a cyclic number.

It is not a de Polignac number, because 90017 - 2⁴ = 90001 is a prime.

Together with 90019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 89977 and 90004.

It is not a weakly prime, because it can be changed into another prime (90011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45008 + 45009.

It is an arithmetic number, because the mean of its divisors is an integer number (45009).

2⁹⁰⁰¹⁷ is an apocalyptic number.

It is an amenable number.

90017 is a deficient number, since it is larger than the sum of its proper divisors (1).

90017 is an equidigital number, since it uses as much as digits as its factorization.

90017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 90017 is about 300.0283319955. The cubic root of 90017 is about 44.8168689131.

Subtracting from 90017 its sum of digits (17), we obtain a square (90000 = 300²).

The spelling of 90017 in words is "ninety thousand, seventeen".