Is 1277 a prime number? What are the divisors of 1277?

## Is 1277 a prime number?

Yes, 1277 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 1277, the only two divisors are 1 and 1277. Therefore 1277 is a prime number.

As a consequence, 1277 is only a multiple of 1 and 1277.

Since 1277 is a prime number, 1277 is also a deficient number, that is to say 1277 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1277 without 1277 itself (that is 1, by definition!).

## Parity of 1277

1277 is an odd number, because it is not evenly divisible by 2.

## Is 1277 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 1277 is about 35.735.

Thus, the square root of 1277 is not an integer, and therefore 1277 is not a square number.

Anyway, 1277 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1277?

The square of a number (here 1277) is the result of the product of this number (1277) by itself (i.e., 1277 × 1277); the square of 1277 is sometimes called "raising 1277 to the power 2", or "1277 squared".

The square of 1277 is 1 630 729 because 1277 × 1277 = 12772 = 1 630 729.

As a consequence, 1277 is the square root of 1 630 729.

## Number of digits of 1277

1277 is a number with 4 digits.

## What are the multiples of 1277?

The multiples of 1277 are all integers evenly divisible by 1277, that is all numbers such that the remainder of the division by 1277 is zero. There are infinitely many multiples of 1277. The smallest multiples of 1277 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1277 too, since 0 × 1277 = 0
• 1277: indeed, 1277 is a multiple of itself, since 1277 is evenly divisible by 1277 (we have 1277 / 1277 = 1, so the remainder of this division is indeed zero)
• 2 554: indeed, 2 554 = 1277 × 2
• 3 831: indeed, 3 831 = 1277 × 3
• 5 108: indeed, 5 108 = 1277 × 4
• 6 385: indeed, 6 385 = 1277 × 5
• etc.

## Nearest numbers from 1277

Find out whether some integer is a prime number