Is 37674809 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 37 674 809 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 37 674 809, the only two divisors are 1 and 37 674 809. Therefore 37 674 809 is a prime number.
As a consequence, 37 674 809 is only a multiple of 1 and 37 674 809.
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Since 37674809 is a prime number, 37674809 is also a deficient number, that is to say 37674809 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 37674809 without 37674809 itself (that is 1, by definition!).