Is 977901137 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 977 901 137 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 977 901 137, the only two divisors are 1 and 977 901 137. Therefore 977 901 137 is a prime number.
As a consequence, 977 901 137 is only a multiple of 1 and 977 901 137.
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Since 977901137 is a prime number, 977901137 is also a deficient number, that is to say 977901137 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 977901137 without 977901137 itself (that is 1, by definition!).