Is 67331521 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 67 331 521 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 67 331 521, the only two divisors are 1 and 67 331 521. Therefore 67 331 521 is a prime number.
As a consequence, 67 331 521 is only a multiple of 1 and 67 331 521.
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Since 67331521 is a prime number, 67331521 is also a deficient number, that is to say 67331521 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 67331521 without 67331521 itself (that is 1, by definition!).