Is 267584197 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 267 584 197 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 267 584 197, the only two divisors are 1 and 267 584 197. Therefore 267 584 197 is a prime number.
As a consequence, 267 584 197 is only a multiple of 1 and 267 584 197.
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Since 267584197 is a prime number, 267584197 is also a deficient number, that is to say 267584197 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 267584197 without 267584197 itself (that is 1, by definition!).