Is 497067331 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 497 067 331 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 497 067 331, the only two divisors are 1 and 497 067 331. Therefore 497 067 331 is a prime number.
As a consequence, 497 067 331 is only a multiple of 1 and 497 067 331.
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Since 497067331 is a prime number, 497067331 is also a deficient number, that is to say 497067331 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 497067331 without 497067331 itself (that is 1, by definition!).