Is 67498019 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 67 498 019 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 67 498 019, the only two divisors are 1 and 67 498 019. Therefore 67 498 019 is a prime number.
As a consequence, 67 498 019 is only a multiple of 1 and 67 498 019.
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Since 67498019 is a prime number, 67498019 is also a deficient number, that is to say 67498019 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 67498019 without 67498019 itself (that is 1, by definition!).