Is 209265167 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 209 265 167 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 209 265 167, the only two divisors are 1 and 209 265 167. Therefore 209 265 167 is a prime number.
As a consequence, 209 265 167 is only a multiple of 1 and 209 265 167.
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Since 209265167 is a prime number, 209265167 is also a deficient number, that is to say 209265167 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 209265167 without 209265167 itself (that is 1, by definition!).