Is 867420329 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 867 420 329 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 867 420 329, the only two divisors are 1 and 867 420 329. Therefore 867 420 329 is a prime number.
As a consequence, 867 420 329 is only a multiple of 1 and 867 420 329.
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Since 867420329 is a prime number, 867420329 is also a deficient number, that is to say 867420329 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 867420329 without 867420329 itself (that is 1, by definition!).