Is 167003927 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 167 003 927 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 167 003 927, the only two divisors are 1 and 167 003 927. Therefore 167 003 927 is a prime number.
As a consequence, 167 003 927 is only a multiple of 1 and 167 003 927.
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Since 167003927 is a prime number, 167003927 is also a deficient number, that is to say 167003927 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 167003927 without 167003927 itself (that is 1, by definition!).