217005 has 32 divisors (see below), whose sum is σ = 393984. Its totient is φ = 101376.

The previous prime is 217003. The next prime is 217027. The reversal of 217005 is 500712.

It is a happy number.

It is not a de Polignac number, because 217005 - 2¹ = 217003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

217005 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 217005.

It is not an unprimeable number, because it can be changed into a prime (217001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5847 + ... + 5883.

It is an arithmetic number, because the mean of its divisors is an integer number (12312).

2²¹⁷⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

217005 is a deficient number, since it is larger than the sum of its proper divisors (176979).

217005 is a wasteful number, since it uses less digits than its factorization.

217005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85.

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 217005 is about 465.8379546581. The cubic root of 217005 is about 60.0929116052.

Adding to 217005 its reverse (500712), we get a palindrome (717717).

The spelling of 217005 in words is "two hundred seventeen thousand, five".