Is 200009 a prime number?

200 009 is an odd number, because it is not evenly divisible by 2.

Find out more:

• What is an even 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 200 009 is about 447.224.

Thus, the square root of 200 009 is not an integer, and therefore 200 009 is not a square number.

Anyway, 200 009 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 200 009) is the result of the product of this number (200 009) by itself (i.e., 200 009 × 200 009); the square of 200 009 is sometimes called "raising 200 009 to the power 2", or "200 009 squared".

The square of 200 009 is 40 003 600 081 because 200 009 × 200 009 = 200 009² = 40 003 600 081.

As a consequence, 200 009 is the square root of 40 003 600 081.

200 009 is a number with 6 digits.

The multiples of 200 009 are all integers evenly divisible by 200 009, that is all numbers such that the remainder of the division by 200 009 is zero. There are infinitely many multiples of 200 009. The smallest multiples of 200 009 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 200 009 too, since 0 × 200 009 = 0
• 200 009: indeed, 200 009 is a multiple of itself, since 200 009 is evenly divisible by 200 009 (we have 200 009 / 200 009 = 1, so the remainder of this division is indeed zero)
• 400 018: indeed, 400 018 = 200 009 × 2
• 600 027: indeed, 600 027 = 200 009 × 3
• 800 036: indeed, 800 036 = 200 009 × 4
• 1 000 045: indeed, 1 000 045 = 200 009 × 5
• etc.

• Preceding numbers: …200 007, 200 008
• Following numbers: 200 010, 200 011…

Nearest numbers from 200 009

• Preceding prime number: 200 003
• Following prime number: 200 017