Is 1973 a prime number?

1 973 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 1 973 is about 44.418.

Thus, the square root of 1 973 is not an integer, and therefore 1 973 is not a square number.

Anyway, 1 973 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 1 973) is the result of the product of this number (1 973) by itself (i.e., 1 973 × 1 973); the square of 1 973 is sometimes called "raising 1 973 to the power 2", or "1 973 squared".

The square of 1 973 is 3 892 729 because 1 973 × 1 973 = 1 973² = 3 892 729.

As a consequence, 1 973 is the square root of 3 892 729.

1 973 is a number with 4 digits.

The multiples of 1 973 are all integers evenly divisible by 1 973, that is all numbers such that the remainder of the division by 1 973 is zero. There are infinitely many multiples of 1 973. The smallest multiples of 1 973 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1 973 too, since 0 × 1 973 = 0
• 1 973: indeed, 1 973 is a multiple of itself, since 1 973 is evenly divisible by 1 973 (we have 1 973 / 1 973 = 1, so the remainder of this division is indeed zero)
• 3 946: indeed, 3 946 = 1 973 × 2
• 5 919: indeed, 5 919 = 1 973 × 3
• 7 892: indeed, 7 892 = 1 973 × 4
• 9 865: indeed, 9 865 = 1 973 × 5
• etc.

• Preceding numbers: …1 971, 1 972
• Following numbers: 1 974, 1 975…

Nearest numbers from 1 973

• Preceding prime number: 1 951
• Following prime number: 1 979

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• 1 973 est-il un nombre premier ?