Is 35011997 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 35 011 997 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 35 011 997, the only two divisors are 1 and 35 011 997. Therefore 35 011 997 is a prime number.
As a consequence, 35 011 997 is only a multiple of 1 and 35 011 997.
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Since 35011997 is a prime number, 35011997 is also a deficient number, that is to say 35011997 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 35011997 without 35011997 itself (that is 1, by definition!).