217089 has 6 divisors (see below), whose sum is σ = 313586. Its totient is φ = 144720.

The previous prime is 217081. The next prime is 217111. The reversal of 217089 is 980712.

It can be written as a sum of positive squares in only one way, i.e., 166464 + 50625 = 408^2 + 225^2 .

It is not a de Polignac number, because 217089 - 2³ = 217081 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (217081) 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 5 ways as a sum of consecutive naturals, for example, 12052 + ... + 12069.

It is a Proth number, since it is equal to 53 ⋅ 2¹² + 1 and 53 < 2¹².

2²¹⁷⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

217089 is a deficient number, since it is larger than the sum of its proper divisors (96497).

217089 is a wasteful number, since it uses less digits than its factorization.

217089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24127 (or 24124 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 217089 is about 465.9281060421. The cubic root of 217089 is about 60.1006643504.

The spelling of 217089 in words is "two hundred seventeen thousand, eighty-nine".