It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 88 943 831 is a prime number.
Indeed, the definition of a prime numbers is to have only 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 88 943 831, the only two divisors are 1 and 88 943 831. Therefore 88 943 831 is a prime number.
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Since 88943831 is a prime number, 88943831 is also a deficient number, that is to say 88943831 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 88943831 without 88943831 itself (that is 1, by definition!).