Is 61828009 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 61 828 009 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 61 828 009, the only two divisors are 1 and 61 828 009. Therefore 61 828 009 is a prime number.
As a consequence, 61 828 009 is only a multiple of 1 and 61 828 009.
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Since 61828009 is a prime number, 61828009 is also a deficient number, that is to say 61828009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 61828009 without 61828009 itself (that is 1, by definition!).