Is 1663 a prime number? What are the divisors of 1663?

## Is 1663 a prime number?

Yes, 1663 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 1663, the only two divisors are 1 and 1663. Therefore 1663 is a prime number.

As a consequence, 1663 is only a multiple of 1 and 1663.

Since 1663 is a prime number, 1663 is also a deficient number, that is to say 1663 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1663 without 1663 itself (that is 1, by definition!).

## Parity of 1663

1663 is an odd number, because it is not evenly divisible by 2.

## Is 1663 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 1663 is about 40.780.

Thus, the square root of 1663 is not an integer, and therefore 1663 is not a square number.

Anyway, 1663 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1663?

The square of a number (here 1663) is the result of the product of this number (1663) by itself (i.e., 1663 × 1663); the square of 1663 is sometimes called "raising 1663 to the power 2", or "1663 squared".

The square of 1663 is 2 765 569 because 1663 × 1663 = 16632 = 2 765 569.

As a consequence, 1663 is the square root of 2 765 569.

## Number of digits of 1663

1663 is a number with 4 digits.

## What are the multiples of 1663?

The multiples of 1663 are all integers evenly divisible by 1663, that is all numbers such that the remainder of the division by 1663 is zero. There are infinitely many multiples of 1663. The smallest multiples of 1663 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1663 too, since 0 × 1663 = 0
• 1663: indeed, 1663 is a multiple of itself, since 1663 is evenly divisible by 1663 (we have 1663 / 1663 = 1, so the remainder of this division is indeed zero)
• 3 326: indeed, 3 326 = 1663 × 2
• 4 989: indeed, 4 989 = 1663 × 3
• 6 652: indeed, 6 652 = 1663 × 4
• 8 315: indeed, 8 315 = 1663 × 5
• etc.

## Nearest numbers from 1663

Find out whether some integer is a prime number