90217 has 2 divisors, whose sum is σ = 90218. Its totient is φ = 90216.

The previous prime is 90203. The next prime is 90227. The reversal of 90217 is 71209.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87616 + 2601 = 296^2 + 51^2 .

It is an emirp because it is prime and its reverse (71209) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90217 - 2⁷ = 90089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90194 and 90203.

It is not a weakly prime, because it can be changed into another prime (90227) 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 as a sum of consecutive naturals, namely, 45108 + 45109.

It is an arithmetic number, because the mean of its divisors is an integer number (45109).

2⁹⁰²¹⁷ is an apocalyptic number.

It is an amenable number.

90217 is a deficient number, since it is larger than the sum of its proper divisors (1).

90217 is an equidigital number, since it uses as much as digits as its factorization.

90217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 90217 is about 300.3614489245. The cubic root of 90217 is about 44.8500357730.

It can be divided in two parts, 902 and 17, that added together give a palindrome (919).

The spelling of 90217 in words is "ninety thousand, two hundred seventeen".