Is 1609 a prime number?

1 609 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 1 609 is about 40.112.

Thus, the square root of 1 609 is not an integer, and therefore 1 609 is not a square number.

Anyway, 1 609 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 1 609) is the result of the product of this number (1 609) by itself (i.e., 1 609 × 1 609); the square of 1 609 is sometimes called "raising 1 609 to the power 2", or "1 609 squared".

The square of 1 609 is 2 588 881 because 1 609 × 1 609 = 1 609² = 2 588 881.

As a consequence, 1 609 is the square root of 2 588 881.

1 609 is a number with 4 digits.

The multiples of 1 609 are all integers evenly divisible by 1 609, that is all numbers such that the remainder of the division by 1 609 is zero. There are infinitely many multiples of 1 609. The smallest multiples of 1 609 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1 609 too, since 0 × 1 609 = 0
• 1 609: indeed, 1 609 is a multiple of itself, since 1 609 is evenly divisible by 1 609 (we have 1 609 / 1 609 = 1, so the remainder of this division is indeed zero)
• 3 218: indeed, 3 218 = 1 609 × 2
• 4 827: indeed, 4 827 = 1 609 × 3
• 6 436: indeed, 6 436 = 1 609 × 4
• 8 045: indeed, 8 045 = 1 609 × 5
• etc.

• Preceding numbers: …1 607, 1 608
• Following numbers: 1 610, 1 611…

Nearest numbers from 1 609

• Preceding prime number: 1 607
• Following prime number: 1 613

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• 1 609 est-il un nombre premier ?