Is 1949 a prime number? What are the divisors of 1949?

## Is 1949 a prime number?

Yes, 1949 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 1949, the only two divisors are 1 and 1949. Therefore 1949 is a prime number.

As a consequence, 1949 is only a multiple of 1 and 1949.

Therefore year 1949 was a prime year.

Since 1949 is a prime number, 1949 is also a deficient number, that is to say 1949 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1949 without 1949 itself (that is 1, by definition!).

## Parity of 1949

1949 is an odd number, because it is not evenly divisible by 2.

## Is 1949 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 1949 is about 44.147.

Thus, the square root of 1949 is not an integer, and therefore 1949 is not a square number.

Anyway, 1949 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1949?

The square of a number (here 1949) is the result of the product of this number (1949) by itself (i.e., 1949 × 1949); the square of 1949 is sometimes called "raising 1949 to the power 2", or "1949 squared".

The square of 1949 is 3 798 601 because 1949 × 1949 = 19492 = 3 798 601.

As a consequence, 1949 is the square root of 3 798 601.

## Number of digits of 1949

1949 is a number with 4 digits.

## What are the multiples of 1949?

The multiples of 1949 are all integers evenly divisible by 1949, that is all numbers such that the remainder of the division by 1949 is zero. There are infinitely many multiples of 1949. The smallest multiples of 1949 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1949 too, since 0 × 1949 = 0
• 1949: indeed, 1949 is a multiple of itself, since 1949 is evenly divisible by 1949 (we have 1949 / 1949 = 1, so the remainder of this division is indeed zero)
• 3 898: indeed, 3 898 = 1949 × 2
• 5 847: indeed, 5 847 = 1949 × 3
• 7 796: indeed, 7 796 = 1949 × 4
• 9 745: indeed, 9 745 = 1949 × 5
• etc.

## Nearest numbers from 1949

Find out whether some integer is a prime number