Is 4973 a prime number?

4 973 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 4 973 is about 70.520.

Thus, the square root of 4 973 is not an integer, and therefore 4 973 is not a square number.

Anyway, 4 973 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 4 973) is the result of the product of this number (4 973) by itself (i.e., 4 973 × 4 973); the square of 4 973 is sometimes called "raising 4 973 to the power 2", or "4 973 squared".

The square of 4 973 is 24 730 729 because 4 973 × 4 973 = 4 973² = 24 730 729.

As a consequence, 4 973 is the square root of 24 730 729.

4 973 is a number with 4 digits.

The multiples of 4 973 are all integers evenly divisible by 4 973, that is all numbers such that the remainder of the division by 4 973 is zero. There are infinitely many multiples of 4 973. The smallest multiples of 4 973 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 4 973 too, since 0 × 4 973 = 0
• 4 973: indeed, 4 973 is a multiple of itself, since 4 973 is evenly divisible by 4 973 (we have 4 973 / 4 973 = 1, so the remainder of this division is indeed zero)
• 9 946: indeed, 9 946 = 4 973 × 2
• 14 919: indeed, 14 919 = 4 973 × 3
• 19 892: indeed, 19 892 = 4 973 × 4
• 24 865: indeed, 24 865 = 4 973 × 5
• etc.

• Preceding numbers: …4 971, 4 972
• Following numbers: 4 974, 4 975…

Nearest numbers from 4 973

• Preceding prime number: 4 969
• Following prime number: 4 987

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• 4 973 est-il un nombre premier ?