Is 978001 a prime number?

978 001 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 978 001 is about 988.939.

Thus, the square root of 978 001 is not an integer, and therefore 978 001 is not a square number.

Anyway, 978 001 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 978 001) is the result of the product of this number (978 001) by itself (i.e., 978 001 × 978 001); the square of 978 001 is sometimes called "raising 978 001 to the power 2", or "978 001 squared".

The square of 978 001 is 956 485 956 001 because 978 001 × 978 001 = 978 001² = 956 485 956 001.

As a consequence, 978 001 is the square root of 956 485 956 001.

978 001 is a number with 6 digits.

The multiples of 978 001 are all integers evenly divisible by 978 001, that is all numbers such that the remainder of the division by 978 001 is zero. There are infinitely many multiples of 978 001. The smallest multiples of 978 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 978 001 too, since 0 × 978 001 = 0
• 978 001: indeed, 978 001 is a multiple of itself, since 978 001 is evenly divisible by 978 001 (we have 978 001 / 978 001 = 1, so the remainder of this division is indeed zero)
• 1 956 002: indeed, 1 956 002 = 978 001 × 2
• 2 934 003: indeed, 2 934 003 = 978 001 × 3
• 3 912 004: indeed, 3 912 004 = 978 001 × 4
• 4 890 005: indeed, 4 890 005 = 978 001 × 5
• etc.

• Preceding numbers: …977 999, 978 000
• Following numbers: 978 002, 978 003…

Nearest numbers from 978 001

• Preceding prime number: 977 971
• Following prime number: 978 007

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• 978 001 est-il un nombre premier ?