Is 35354909 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 35 354 909 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 35 354 909, the only two divisors are 1 and 35 354 909. Therefore 35 354 909 is a prime number.
As a consequence, 35 354 909 is only a multiple of 1 and 35 354 909.
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Since 35354909 is a prime number, 35354909 is also a deficient number, that is to say 35354909 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 35354909 without 35354909 itself (that is 1, by definition!).