Is 1649 a prime number?

1 649 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 1 649 is about 40.608.

Thus, the square root of 1 649 is not an integer, and therefore 1 649 is not a square number.

The square of a number (here 1 649) is the result of the product of this number (1 649) by itself (i.e., 1 649 × 1 649); the square of 1 649 is sometimes called "raising 1 649 to the power 2", or "1 649 squared".

The square of 1 649 is 2 719 201 because 1 649 × 1 649 = 1 649² = 2 719 201.

As a consequence, 1 649 is the square root of 2 719 201.

1 649 is a number with 4 digits.

The multiples of 1 649 are all integers evenly divisible by 1 649, that is all numbers such that the remainder of the division by 1 649 is zero. There are infinitely many multiples of 1 649. The smallest multiples of 1 649 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1 649 too, since 0 × 1 649 = 0
• 1 649: indeed, 1 649 is a multiple of itself, since 1 649 is evenly divisible by 1 649 (we have 1 649 / 1 649 = 1, so the remainder of this division is indeed zero)
• 3 298: indeed, 3 298 = 1 649 × 2
• 4 947: indeed, 4 947 = 1 649 × 3
• 6 596: indeed, 6 596 = 1 649 × 4
• 8 245: indeed, 8 245 = 1 649 × 5
• etc.

• Preceding numbers: …1 647, 1 648
• Following numbers: 1 650, 1 651…

Nearest numbers from 1 649

• Preceding prime number: 1 637
• Following prime number: 1 657

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• 1 649 est-il un nombre premier ?