Is 67216397 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 67 216 397 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 67 216 397, the only two divisors are 1 and 67 216 397. Therefore 67 216 397 is a prime number.
As a consequence, 67 216 397 is only a multiple of 1 and 67 216 397.
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Since 67216397 is a prime number, 67216397 is also a deficient number, that is to say 67216397 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 67216397 without 67216397 itself (that is 1, by definition!).