Is 112501 a prime number?

112 501 is an odd number, because it is not evenly divisible by 2.

Find out more:

• 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 112 501 is about 335.412.

Thus, the square root of 112 501 is not an integer, and therefore 112 501 is not a square number.

Anyway, 112 501 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 112 501) is the result of the product of this number (112 501) by itself (i.e., 112 501 × 112 501); the square of 112 501 is sometimes called "raising 112 501 to the power 2", or "112 501 squared".

The square of 112 501 is 12 656 475 001 because 112 501 × 112 501 = 112 501² = 12 656 475 001.

As a consequence, 112 501 is the square root of 12 656 475 001.

112 501 is a number with 6 digits.

The multiples of 112 501 are all integers evenly divisible by 112 501, that is all numbers such that the remainder of the division by 112 501 is zero. There are infinitely many multiples of 112 501. The smallest multiples of 112 501 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 112 501 too, since 0 × 112 501 = 0
• 112 501: indeed, 112 501 is a multiple of itself, since 112 501 is evenly divisible by 112 501 (we have 112 501 / 112 501 = 1, so the remainder of this division is indeed zero)
• 225 002: indeed, 225 002 = 112 501 × 2
• 337 503: indeed, 337 503 = 112 501 × 3
• 450 004: indeed, 450 004 = 112 501 × 4
• 562 505: indeed, 562 505 = 112 501 × 5
• etc.

• Preceding numbers: …112 499, 112 500
• Following numbers: 112 502, 112 503…

Nearest numbers from 112 501

• Preceding prime number: 112 481
• Following prime number: 112 507