Is 1564 a prime number?

1 564 is an even number, because it is evenly divisible by 2: 1 564 / 2 = 782.

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 1 564 is about 39.547.

Thus, the square root of 1 564 is not an integer, and therefore 1 564 is not a square number.

The square of a number (here 1 564) is the result of the product of this number (1 564) by itself (i.e., 1 564 × 1 564); the square of 1 564 is sometimes called "raising 1 564 to the power 2", or "1 564 squared".

The square of 1 564 is 2 446 096 because 1 564 × 1 564 = 1 564² = 2 446 096.

As a consequence, 1 564 is the square root of 2 446 096.

1 564 is a number with 4 digits.

The multiples of 1 564 are all integers evenly divisible by 1 564, that is all numbers such that the remainder of the division by 1 564 is zero. There are infinitely many multiples of 1 564. The smallest multiples of 1 564 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1 564 too, since 0 × 1 564 = 0
• 1 564: indeed, 1 564 is a multiple of itself, since 1 564 is evenly divisible by 1 564 (we have 1 564 / 1 564 = 1, so the remainder of this division is indeed zero)
• 3 128: indeed, 3 128 = 1 564 × 2
• 4 692: indeed, 4 692 = 1 564 × 3
• 6 256: indeed, 6 256 = 1 564 × 4
• 7 820: indeed, 7 820 = 1 564 × 5
• etc.

• Preceding numbers: …1 562, 1 563
• Following numbers: 1 565, 1 566…

Nearest numbers from 1 564

• Preceding prime number: 1 559
• Following prime number: 1 567

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• 1 564 est-il un nombre premier ?