Is 83067821 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 83 067 821 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 83 067 821, the only two divisors are 1 and 83 067 821. Therefore 83 067 821 is a prime number.
As a consequence, 83 067 821 is only a multiple of 1 and 83 067 821.
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Since 83067821 is a prime number, 83067821 is also a deficient number, that is to say 83067821 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 83067821 without 83067821 itself (that is 1, by definition!).