Is 1621 a prime number? What are the divisors of 1621?

## Is 1621 a prime number?

Yes, 1621 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 1621, the only two divisors are 1 and 1621. Therefore 1621 is a prime number.

As a consequence, 1621 is only a multiple of 1 and 1621.

Since 1621 is a prime number, 1621 is also a deficient number, that is to say 1621 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1621 without 1621 itself (that is 1, by definition!).

## Parity of 1621

1621 is an odd number, because it is not evenly divisible by 2.

## Is 1621 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 1621 is about 40.262.

Thus, the square root of 1621 is not an integer, and therefore 1621 is not a square number.

Anyway, 1621 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1621?

The square of a number (here 1621) is the result of the product of this number (1621) by itself (i.e., 1621 × 1621); the square of 1621 is sometimes called "raising 1621 to the power 2", or "1621 squared".

The square of 1621 is 2 627 641 because 1621 × 1621 = 16212 = 2 627 641.

As a consequence, 1621 is the square root of 2 627 641.

## Number of digits of 1621

1621 is a number with 4 digits.

## What are the multiples of 1621?

The multiples of 1621 are all integers evenly divisible by 1621, that is all numbers such that the remainder of the division by 1621 is zero. There are infinitely many multiples of 1621. The smallest multiples of 1621 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1621 too, since 0 × 1621 = 0
• 1621: indeed, 1621 is a multiple of itself, since 1621 is evenly divisible by 1621 (we have 1621 / 1621 = 1, so the remainder of this division is indeed zero)
• 3 242: indeed, 3 242 = 1621 × 2
• 4 863: indeed, 4 863 = 1621 × 3
• 6 484: indeed, 6 484 = 1621 × 4
• 8 105: indeed, 8 105 = 1621 × 5
• etc.

## Nearest numbers from 1621

Find out whether some integer is a prime number