Is 1901 a prime number? What are the divisors of 1901?

## Is 1901 a prime number?

Yes, 1901 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 1901, the only two divisors are 1 and 1901. Therefore 1901 is a prime number.

As a consequence, 1901 is only a multiple of 1 and 1901.

Therefore year 1901 was a prime year.

Since 1901 is a prime number, 1901 is also a deficient number, that is to say 1901 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1901 without 1901 itself (that is 1, by definition!).

## Parity of 1901

1901 is an odd number, because it is not evenly divisible by 2.

## Is 1901 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 1901 is about 43.600.

Thus, the square root of 1901 is not an integer, and therefore 1901 is not a square number.

Anyway, 1901 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1901?

The square of a number (here 1901) is the result of the product of this number (1901) by itself (i.e., 1901 × 1901); the square of 1901 is sometimes called "raising 1901 to the power 2", or "1901 squared".

The square of 1901 is 3 613 801 because 1901 × 1901 = 19012 = 3 613 801.

As a consequence, 1901 is the square root of 3 613 801.

## Number of digits of 1901

1901 is a number with 4 digits.

## What are the multiples of 1901?

The multiples of 1901 are all integers evenly divisible by 1901, that is all numbers such that the remainder of the division by 1901 is zero. There are infinitely many multiples of 1901. The smallest multiples of 1901 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1901 too, since 0 × 1901 = 0
• 1901: indeed, 1901 is a multiple of itself, since 1901 is evenly divisible by 1901 (we have 1901 / 1901 = 1, so the remainder of this division is indeed zero)
• 3 802: indeed, 3 802 = 1901 × 2
• 5 703: indeed, 5 703 = 1901 × 3
• 7 604: indeed, 7 604 = 1901 × 4
• 9 505: indeed, 9 505 = 1901 × 5
• etc.

## Nearest numbers from 1901

Find out whether some integer is a prime number