Is 164088809 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 164 088 809 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 164 088 809, the only two divisors are 1 and 164 088 809. Therefore 164 088 809 is a prime number.
As a consequence, 164 088 809 is only a multiple of 1 and 164 088 809.
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Since 164088809 is a prime number, 164088809 is also a deficient number, that is to say 164088809 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 164088809 without 164088809 itself (that is 1, by definition!).