Is 67003 a prime number?

67 003 is an odd number, because it is not evenly divisible by 2.

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• 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 67 003 is about 258.849.

Thus, the square root of 67 003 is not an integer, and therefore 67 003 is not a square number.

Anyway, 67 003 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 67 003) is the result of the product of this number (67 003) by itself (i.e., 67 003 × 67 003); the square of 67 003 is sometimes called "raising 67 003 to the power 2", or "67 003 squared".

The square of 67 003 is 4 489 402 009 because 67 003 × 67 003 = 67 003² = 4 489 402 009.

As a consequence, 67 003 is the square root of 4 489 402 009.

67 003 is a number with 5 digits.

The multiples of 67 003 are all integers evenly divisible by 67 003, that is all numbers such that the remainder of the division by 67 003 is zero. There are infinitely many multiples of 67 003. The smallest multiples of 67 003 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 67 003 too, since 0 × 67 003 = 0
• 67 003: indeed, 67 003 is a multiple of itself, since 67 003 is evenly divisible by 67 003 (we have 67 003 / 67 003 = 1, so the remainder of this division is indeed zero)
• 134 006: indeed, 134 006 = 67 003 × 2
• 201 009: indeed, 201 009 = 67 003 × 3
• 268 012: indeed, 268 012 = 67 003 × 4
• 335 015: indeed, 335 015 = 67 003 × 5
• etc.

• Preceding numbers: …67 001, 67 002
• Following numbers: 67 004, 67 005…

Nearest numbers from 67 003

• Preceding prime number: 66 977
• Following prime number: 67 021

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• 67 003 est-il un nombre premier ?