Is 1607 a prime number?

1 607 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 1 607 is about 40.087.

Thus, the square root of 1 607 is not an integer, and therefore 1 607 is not a square number.

Anyway, 1 607 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 1 607) is the result of the product of this number (1 607) by itself (i.e., 1 607 × 1 607); the square of 1 607 is sometimes called "raising 1 607 to the power 2", or "1 607 squared".

The square of 1 607 is 2 582 449 because 1 607 × 1 607 = 1 607² = 2 582 449.

As a consequence, 1 607 is the square root of 2 582 449.

1 607 is a number with 4 digits.

The multiples of 1 607 are all integers evenly divisible by 1 607, that is all numbers such that the remainder of the division by 1 607 is zero. There are infinitely many multiples of 1 607. The smallest multiples of 1 607 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1 607 too, since 0 × 1 607 = 0
• 1 607: indeed, 1 607 is a multiple of itself, since 1 607 is evenly divisible by 1 607 (we have 1 607 / 1 607 = 1, so the remainder of this division is indeed zero)
• 3 214: indeed, 3 214 = 1 607 × 2
• 4 821: indeed, 4 821 = 1 607 × 3
• 6 428: indeed, 6 428 = 1 607 × 4
• 8 035: indeed, 8 035 = 1 607 × 5
• etc.

• Preceding numbers: …1 605, 1 606
• Following numbers: 1 608, 1 609…

Nearest numbers from 1 607

• Preceding prime number: 1 601
• Following prime number: 1 609

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• 1 607 est-il un nombre premier ?