Is 3769 a prime number? What are the divisors of 3769?

## Is 3769 a prime number?

Yes, 3769 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 3769, the only two divisors are 1 and 3769. Therefore 3769 is a prime number.

As a consequence, 3769 is only a multiple of 1 and 3769.

Since 3769 is a prime number, 3769 is also a deficient number, that is to say 3769 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 3769 without 3769 itself (that is 1, by definition!).

## Parity of 3769

3769 is an odd number, because it is not evenly divisible by 2.

## Is 3769 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 3769 is about 61.392.

Thus, the square root of 3769 is not an integer, and therefore 3769 is not a square number.

Anyway, 3769 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 3769?

The square of a number (here 3769) is the result of the product of this number (3769) by itself (i.e., 3769 × 3769); the square of 3769 is sometimes called "raising 3769 to the power 2", or "3769 squared".

The square of 3769 is 14 205 361 because 3769 × 3769 = 37692 = 14 205 361.

As a consequence, 3769 is the square root of 14 205 361.

## Number of digits of 3769

3769 is a number with 4 digits.

## What are the multiples of 3769?

The multiples of 3769 are all integers evenly divisible by 3769, that is all numbers such that the remainder of the division by 3769 is zero. There are infinitely many multiples of 3769. The smallest multiples of 3769 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 3769 too, since 0 × 3769 = 0
• 3769: indeed, 3769 is a multiple of itself, since 3769 is evenly divisible by 3769 (we have 3769 / 3769 = 1, so the remainder of this division is indeed zero)
• 7 538: indeed, 7 538 = 3769 × 2
• 11 307: indeed, 11 307 = 3769 × 3
• 15 076: indeed, 15 076 = 3769 × 4
• 18 845: indeed, 18 845 = 3769 × 5
• etc.

## Nearest numbers from 3769

Find out whether some integer is a prime number