Is 1201 a prime number? What are the divisors of 1201?

## Is 1201 a prime number?

Yes, 1201 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 1201, the only two divisors are 1 and 1201. Therefore 1201 is a prime number.

As a consequence, 1201 is only a multiple of 1 and 1201.

Since 1201 is a prime number, 1201 is also a deficient number, that is to say 1201 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1201 without 1201 itself (that is 1, by definition!).

## Parity of 1201

1201 is an odd number, because it is not evenly divisible by 2.

## Is 1201 a perfect square 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 1201 is about 34.655.

Thus, the square root of 1201 is not an integer, and therefore 1201 is not a square number.

Anyway, 1201 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1201?

The square of a number (here 1201) is the result of the product of this number (1201) by itself (i.e., 1201 × 1201); the square of 1201 is sometimes called "raising 1201 to the power 2", or "1201 squared".

The square of 1201 is 1 442 401 because 1201 × 1201 = 12012 = 1 442 401.

As a consequence, 1201 is the square root of 1 442 401.

## Number of digits of 1201

1201 is a number with 4 digits.

## What are the multiples of 1201?

The multiples of 1201 are all integers evenly divisible by 1201, that is all numbers such that the remainder of the division by 1201 is zero. There are infinitely many multiples of 1201. The smallest multiples of 1201 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1201 too, since 0 × 1201 = 0
• 1201: indeed, 1201 is a multiple of itself, since 1201 is evenly divisible by 1201 (we have 1201 / 1201 = 1, so the remainder of this division is indeed zero)
• 2 402: indeed, 2 402 = 1201 × 2
• 3 603: indeed, 3 603 = 1201 × 3
• 4 804: indeed, 4 804 = 1201 × 4
• 6 005: indeed, 6 005 = 1201 × 5
• etc.

## Nearest numbers from 1201

Find out whether some integer is a prime number