Is 83401 a prime number?

83 401 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 83 401 is about 288.792.

Thus, the square root of 83 401 is not an integer, and therefore 83 401 is not a square number.

Anyway, 83 401 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 83 401) is the result of the product of this number (83 401) by itself (i.e., 83 401 × 83 401); the square of 83 401 is sometimes called "raising 83 401 to the power 2", or "83 401 squared".

The square of 83 401 is 6 955 726 801 because 83 401 × 83 401 = 83 401² = 6 955 726 801.

As a consequence, 83 401 is the square root of 6 955 726 801.

83 401 is a number with 5 digits.

The multiples of 83 401 are all integers evenly divisible by 83 401, that is all numbers such that the remainder of the division by 83 401 is zero. There are infinitely many multiples of 83 401. The smallest multiples of 83 401 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 83 401 too, since 0 × 83 401 = 0
• 83 401: indeed, 83 401 is a multiple of itself, since 83 401 is evenly divisible by 83 401 (we have 83 401 / 83 401 = 1, so the remainder of this division is indeed zero)
• 166 802: indeed, 166 802 = 83 401 × 2
• 250 203: indeed, 250 203 = 83 401 × 3
• 333 604: indeed, 333 604 = 83 401 × 4
• 417 005: indeed, 417 005 = 83 401 × 5
• etc.

• Preceding numbers: …83 399, 83 400
• Following numbers: 83 402, 83 403…

Nearest numbers from 83 401

• Preceding prime number: 83 399
• Following prime number: 83 407

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• 83 401 est-il un nombre premier ?