Is 970085213 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 970 085 213 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 970 085 213, the only two divisors are 1 and 970 085 213. Therefore 970 085 213 is a prime number.
As a consequence, 970 085 213 is only a multiple of 1 and 970 085 213.
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Since 970085213 is a prime number, 970085213 is also a deficient number, that is to say 970085213 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 970085213 without 970085213 itself (that is 1, by definition!).