Is 33949009 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 33 949 009 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 33 949 009, the only two divisors are 1 and 33 949 009. Therefore 33 949 009 is a prime number.
As a consequence, 33 949 009 is only a multiple of 1 and 33 949 009.
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Since 33949009 is a prime number, 33949009 is also a deficient number, that is to say 33949009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 33949009 without 33949009 itself (that is 1, by definition!).