Is 61678789 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 61 678 789 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 61 678 789, the only two divisors are 1 and 61 678 789. Therefore 61 678 789 is a prime number.
As a consequence, 61 678 789 is only a multiple of 1 and 61 678 789.
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Since 61678789 is a prime number, 61678789 is also a deficient number, that is to say 61678789 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 61678789 without 61678789 itself (that is 1, by definition!).