Is 83137921 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 83 137 921 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 83 137 921, the only two divisors are 1 and 83 137 921. Therefore 83 137 921 is a prime number.
As a consequence, 83 137 921 is only a multiple of 1 and 83 137 921.
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Since 83137921 is a prime number, 83137921 is also a deficient number, that is to say 83137921 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 83137921 without 83137921 itself (that is 1, by definition!).