Is 37675129 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 37 675 129 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 37 675 129, the only two divisors are 1 and 37 675 129. Therefore 37 675 129 is a prime number.
As a consequence, 37 675 129 is only a multiple of 1 and 37 675 129.
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Since 37675129 is a prime number, 37675129 is also a deficient number, that is to say 37675129 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 37675129 without 37675129 itself (that is 1, by definition!).