Is 37134989 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 37 134 989 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 37 134 989, the only two divisors are 1 and 37 134 989. Therefore 37 134 989 is a prime number.
As a consequence, 37 134 989 is only a multiple of 1 and 37 134 989.
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Since 37134989 is a prime number, 37134989 is also a deficient number, that is to say 37134989 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 37134989 without 37134989 itself (that is 1, by definition!).