Is 31967989 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 31 967 989 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 31 967 989, the only two divisors are 1 and 31 967 989. Therefore 31 967 989 is a prime number.
As a consequence, 31 967 989 is only a multiple of 1 and 31 967 989.
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Since 31967989 is a prime number, 31967989 is also a deficient number, that is to say 31967989 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 31967989 without 31967989 itself (that is 1, by definition!).