Is 1777 a prime number? What are the divisors of 1777?

## Is 1777 a prime number?

Yes, 1777 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 1777, the only two divisors are 1 and 1777. Therefore 1777 is a prime number.

As a consequence, 1777 is only a multiple of 1 and 1777.

Therefore year 1777 was a prime year.

Since 1777 is a prime number, 1777 is also a deficient number, that is to say 1777 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1777 without 1777 itself (that is 1, by definition!).

## Parity of 1777

1777 is an odd number, because it is not evenly divisible by 2.

## Is 1777 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 1777 is about 42.154.

Thus, the square root of 1777 is not an integer, and therefore 1777 is not a square number.

Anyway, 1777 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1777?

The square of a number (here 1777) is the result of the product of this number (1777) by itself (i.e., 1777 × 1777); the square of 1777 is sometimes called "raising 1777 to the power 2", or "1777 squared".

The square of 1777 is 3 157 729 because 1777 × 1777 = 17772 = 3 157 729.

As a consequence, 1777 is the square root of 3 157 729.

## Number of digits of 1777

1777 is a number with 4 digits.

## What are the multiples of 1777?

The multiples of 1777 are all integers evenly divisible by 1777, that is all numbers such that the remainder of the division by 1777 is zero. There are infinitely many multiples of 1777. The smallest multiples of 1777 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1777 too, since 0 × 1777 = 0
• 1777: indeed, 1777 is a multiple of itself, since 1777 is evenly divisible by 1777 (we have 1777 / 1777 = 1, so the remainder of this division is indeed zero)
• 3 554: indeed, 3 554 = 1777 × 2
• 5 331: indeed, 5 331 = 1777 × 3
• 7 108: indeed, 7 108 = 1777 × 4
• 8 885: indeed, 8 885 = 1777 × 5
• etc.

## Nearest numbers from 1777

Find out whether some integer is a prime number