217001 has 2 divisors, whose sum is σ = 217002. Its totient is φ = 217000.

The previous prime is 216991. The next prime is 217003. The reversal of 217001 is 100712.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 141376 + 75625 = 376^2 + 275^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-217001 is a prime.

Together with 217003, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 217001.

It is not a weakly prime, because it can be changed into another prime (217003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108500 + 108501.

It is an arithmetic number, because the mean of its divisors is an integer number (108501).

2²¹⁷⁰⁰¹ is an apocalyptic number.

It is an amenable number.

217001 is a deficient number, since it is larger than the sum of its proper divisors (1).

217001 is an equidigital number, since it uses as much as digits as its factorization.

217001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 217001 is about 465.8336612998. The cubic root of 217001 is about 60.0925423769.

Adding to 217001 its reverse (100712), we get a palindrome (317713).

The spelling of 217001 in words is "two hundred seventeen thousand, one", and thus it is an iban number.