Is 167629339 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 167 629 339 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 167 629 339, the only two divisors are 1 and 167 629 339. Therefore 167 629 339 is a prime number.
As a consequence, 167 629 339 is only a multiple of 1 and 167 629 339.
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Since 167629339 is a prime number, 167629339 is also a deficient number, that is to say 167629339 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 167629339 without 167629339 itself (that is 1, by definition!).