Search a number
-
+
217117 is a prime number
BaseRepresentation
bin110101000000011101
3102000211101
4311000131
523421432
64353101
71562665
oct650035
9360741
10217117
1113913a
12a5791
1377a94
14591a5
15444e7
hex3501d

217117 has 2 divisors, whose sum is σ = 217118. Its totient is φ = 217116.

The previous prime is 217111. The next prime is 217121. The reversal of 217117 is 711712.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 148996 + 68121 = 386^2 + 261^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-217117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 217094 and 217103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (217111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108558 + 108559.

It is an arithmetic number, because the mean of its divisors is an integer number (108559).

2217117 is an apocalyptic number.

It is an amenable number.

217117 is a deficient number, since it is larger than the sum of its proper divisors (1).

217117 is an equidigital number, since it uses as much as digits as its factorization.

217117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 98, while the sum is 19.

The square root of 217117 is about 465.9581526275. The cubic root of 217117 is about 60.1032481543.

Adding to 217117 its reverse (711712), we get a palindrome (928829).

The spelling of 217117 in words is "two hundred seventeen thousand, one hundred seventeen", and thus it is an iban number.