Is 977257129 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 977 257 129 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 977 257 129, the only two divisors are 1 and 977 257 129. Therefore 977 257 129 is a prime number.
As a consequence, 977 257 129 is only a multiple of 1 and 977 257 129.
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Since 977257129 is a prime number, 977257129 is also a deficient number, that is to say 977257129 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 977257129 without 977257129 itself (that is 1, by definition!).
