217380017 has 2 divisors, whose sum is σ = 217380018. Its totient is φ = 217380016.

The previous prime is 217379993. The next prime is 217380019. The reversal of 217380017 is 710083712.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190329616 + 27050401 = 13796^2 + 5201^2 .

It is a cyclic number.

It is not a de Polignac number, because 217380017 - 2⁸ = 217379761 is a prime.

Together with 217380019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (217380019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108690008 + 108690009.

It is an arithmetic number, because the mean of its divisors is an integer number (108690009).

Almost surely, 2^217380017 is an apocalyptic number.

It is an amenable number.

217380017 is a deficient number, since it is larger than the sum of its proper divisors (1).

217380017 is an equidigital number, since it uses as much as digits as its factorization.

217380017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 217380017 is about 14743.8128379331. The cubic root of 217380017 is about 601.2750818760.

The spelling of 217380017 in words is "two hundred seventeen million, three hundred eighty thousand, seventeen".