Is 208001 a prime number?

208 001 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 208 001 is about 456.071.

Thus, the square root of 208 001 is not an integer, and therefore 208 001 is not a square number.

Anyway, 208 001 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 208 001) is the result of the product of this number (208 001) by itself (i.e., 208 001 × 208 001); the square of 208 001 is sometimes called "raising 208 001 to the power 2", or "208 001 squared".

The square of 208 001 is 43 264 416 001 because 208 001 × 208 001 = 208 001² = 43 264 416 001.

As a consequence, 208 001 is the square root of 43 264 416 001.

208 001 is a number with 6 digits.

The multiples of 208 001 are all integers evenly divisible by 208 001, that is all numbers such that the remainder of the division by 208 001 is zero. There are infinitely many multiples of 208 001. The smallest multiples of 208 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 208 001 too, since 0 × 208 001 = 0
• 208 001: indeed, 208 001 is a multiple of itself, since 208 001 is evenly divisible by 208 001 (we have 208 001 / 208 001 = 1, so the remainder of this division is indeed zero)
• 416 002: indeed, 416 002 = 208 001 × 2
• 624 003: indeed, 624 003 = 208 001 × 3
• 832 004: indeed, 832 004 = 208 001 × 4
• 1 040 005: indeed, 1 040 005 = 208 001 × 5
• etc.

• Preceding numbers: …207 999, 208 000
• Following numbers: 208 002, 208 003…

Nearest numbers from 208 001

• Preceding prime number: 207 997
• Following prime number: 208 003