Is 37878289 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 37 878 289 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 37 878 289, the only two divisors are 1 and 37 878 289. Therefore 37 878 289 is a prime number.
As a consequence, 37 878 289 is only a multiple of 1 and 37 878 289.
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Since 37878289 is a prime number, 37878289 is also a deficient number, that is to say 37878289 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 37878289 without 37878289 itself (that is 1, by definition!).