Is 67947023 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 67 947 023 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 67 947 023, the only two divisors are 1 and 67 947 023. Therefore 67 947 023 is a prime number.
As a consequence, 67 947 023 is only a multiple of 1 and 67 947 023.
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Since 67947023 is a prime number, 67947023 is also a deficient number, that is to say 67947023 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 67947023 without 67947023 itself (that is 1, by definition!).