165000217 has 2 divisors, whose sum is σ = 165000218. Its totient is φ = 165000216.

The previous prime is 165000211. The next prime is 165000271. The reversal of 165000217 is 712000561.

165000217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (165000271) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 138744841 + 26255376 = 11779^2 + 5124^2 .

It is a cyclic number.

It is not a de Polignac number, because 165000217 - 2¹⁵ = 164967449 is a prime.

It is a super-2 number, since 2×165000217² = 54450143220094178, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (165000211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82500108 + 82500109.

It is an arithmetic number, because the mean of its divisors is an integer number (82500109).

Almost surely, 2^165000217 is an apocalyptic number.

It is an amenable number.

165000217 is a deficient number, since it is larger than the sum of its proper divisors (1).

165000217 is an equidigital number, since it uses as much as digits as its factorization.

165000217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 165000217 is about 12845.2410253759. The cubic root of 165000217 is about 548.4808956882.

Adding to 165000217 its reverse (712000561), we get a palindrome (877000778).

The spelling of 165000217 in words is "one hundred sixty-five million, two hundred seventeen", and thus it is an aban number.