Search a number
-
+
9997000217 is a prime number
BaseRepresentation
bin10010100111101111…
…00001111000011001
3221210201010020012022
421103313201320121
5130433213001332
64331554224225
7502510046141
oct112367417031
927721106168
109997000217
114270056256
121b2bb85075
13c341a9c59
146ab9c1921
153d79b9212
hex253de1e19

9997000217 has 2 divisors, whose sum is σ = 9997000218. Its totient is φ = 9997000216.

The previous prime is 9997000213. The next prime is 9997000219. The reversal of 9997000217 is 7120007999.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9512295961 + 484704256 = 97531^2 + 22016^2 .

It is a cyclic number.

It is not a de Polignac number, because 9997000217 - 22 = 9997000213 is a prime.

Together with 9997000219, 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 (9997000213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4998500108 + 4998500109.

It is an arithmetic number, because the mean of its divisors is an integer number (4998500109).

Almost surely, 29997000217 is an apocalyptic number.

It is an amenable number.

9997000217 is a deficient number, since it is larger than the sum of its proper divisors (1).

9997000217 is an equidigital number, since it uses as much as digits as its factorization.

9997000217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 71442, while the sum is 44.

The square root of 9997000217 is about 99984.9999599940. Note that the first 4 decimals coincide. The cubic root of 9997000217 is about 2154.2192406018.

The spelling of 9997000217 in words is "nine billion, nine hundred ninety-seven million, two hundred seventeen", and thus it is an aban number.