Is 35509687 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 35 509 687 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 35 509 687, the only two divisors are 1 and 35 509 687. Therefore 35 509 687 is a prime number.
As a consequence, 35 509 687 is only a multiple of 1 and 35 509 687.
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Since 35509687 is a prime number, 35509687 is also a deficient number, that is to say 35509687 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 35509687 without 35509687 itself (that is 1, by definition!).