Is 1901 a prime number?

1 901 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 1 901 is about 43.600.

Thus, the square root of 1 901 is not an integer, and therefore 1 901 is not a square number.

Anyway, 1 901 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 1 901) is the result of the product of this number (1 901) by itself (i.e., 1 901 × 1 901); the square of 1 901 is sometimes called "raising 1 901 to the power 2", or "1 901 squared".

The square of 1 901 is 3 613 801 because 1 901 × 1 901 = 1 901² = 3 613 801.

As a consequence, 1 901 is the square root of 3 613 801.

1 901 is a number with 4 digits.

The multiples of 1 901 are all integers evenly divisible by 1 901, that is all numbers such that the remainder of the division by 1 901 is zero. There are infinitely many multiples of 1 901. The smallest multiples of 1 901 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1 901 too, since 0 × 1 901 = 0
• 1 901: indeed, 1 901 is a multiple of itself, since 1 901 is evenly divisible by 1 901 (we have 1 901 / 1 901 = 1, so the remainder of this division is indeed zero)
• 3 802: indeed, 3 802 = 1 901 × 2
• 5 703: indeed, 5 703 = 1 901 × 3
• 7 604: indeed, 7 604 = 1 901 × 4
• 9 505: indeed, 9 505 = 1 901 × 5
• etc.

• Preceding numbers: …1 899, 1 900
• Following numbers: 1 902, 1 903…

Nearest numbers from 1 901

• Preceding prime number: 1 889
• Following prime number: 1 907

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• 1 901 est-il un nombre premier ?