Is 9829 a prime number? What are the divisors of 9829?

Is 9829 a prime number?

Yes, 9829 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 9829, the only two divisors are 1 and 9829. Therefore 9829 is a prime number.

As a consequence, 9829 is only a multiple of 1 and 9829.

Since 9829 is a prime number, 9829 is also a deficient number, that is to say 9829 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 9829 without 9829 itself (that is 1, by definition!).

Parity of 9829

9829 is an odd number, because it is not evenly divisible by 2.

Is 9829 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 9829 is about 99.141.

Thus, the square root of 9829 is not an integer, and therefore 9829 is not a square number.

Anyway, 9829 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 9829?

The square of a number (here 9829) is the result of the product of this number (9829) by itself (i.e., 9829 × 9829); the square of 9829 is sometimes called "raising 9829 to the power 2", or "9829 squared".

The square of 9829 is 96 609 241 because 9829 × 9829 = 98292 = 96 609 241.

As a consequence, 9829 is the square root of 96 609 241.

Number of digits of 9829

9829 is a number with 4 digits.

What are the multiples of 9829?

The multiples of 9829 are all integers evenly divisible by 9829, that is all numbers such that the remainder of the division by 9829 is zero. There are infinitely many multiples of 9829. The smallest multiples of 9829 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 9829 too, since 0 × 9829 = 0
  • 9829: indeed, 9829 is a multiple of itself, since 9829 is evenly divisible by 9829 (we have 9829 / 9829 = 1, so the remainder of this division is indeed zero)
  • 19 658: indeed, 19 658 = 9829 × 2
  • 29 487: indeed, 29 487 = 9829 × 3
  • 39 316: indeed, 39 316 = 9829 × 4
  • 49 145: indeed, 49 145 = 9829 × 5
  • etc.

Numbers near 9829

Nearest numbers from 9829

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