Is 37573489 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 37 573 489 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 37 573 489, the only two divisors are 1 and 37 573 489. Therefore 37 573 489 is a prime number.
As a consequence, 37 573 489 is only a multiple of 1 and 37 573 489.
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Since 37573489 is a prime number, 37573489 is also a deficient number, that is to say 37573489 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 37573489 without 37573489 itself (that is 1, by definition!).