Is 878123867 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 878 123 867 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 878 123 867, the only two divisors are 1 and 878 123 867. Therefore 878 123 867 is a prime number.
As a consequence, 878 123 867 is only a multiple of 1 and 878 123 867.
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Since 878123867 is a prime number, 878123867 is also a deficient number, that is to say 878123867 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 878123867 without 878123867 itself (that is 1, by definition!).