Is 1607 a prime number? What are the divisors of 1607?

## Is 1607 a prime number?

Yes, 1607 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 1607, the only two divisors are 1 and 1607. Therefore 1607 is a prime number.

As a consequence, 1607 is only a multiple of 1 and 1607.

Since 1607 is a prime number, 1607 is also a deficient number, that is to say 1607 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1607 without 1607 itself (that is 1, by definition!).

## Parity of 1607

1607 is an odd number, because it is not evenly divisible by 2.

## Is 1607 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 1607 is about 40.087.

Thus, the square root of 1607 is not an integer, and therefore 1607 is not a square number.

Anyway, 1607 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1607?

The square of a number (here 1607) is the result of the product of this number (1607) by itself (i.e., 1607 × 1607); the square of 1607 is sometimes called "raising 1607 to the power 2", or "1607 squared".

The square of 1607 is 2 582 449 because 1607 × 1607 = 16072 = 2 582 449.

As a consequence, 1607 is the square root of 2 582 449.

## Number of digits of 1607

1607 is a number with 4 digits.

## What are the multiples of 1607?

The multiples of 1607 are all integers evenly divisible by 1607, that is all numbers such that the remainder of the division by 1607 is zero. There are infinitely many multiples of 1607. The smallest multiples of 1607 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1607 too, since 0 × 1607 = 0
• 1607: indeed, 1607 is a multiple of itself, since 1607 is evenly divisible by 1607 (we have 1607 / 1607 = 1, so the remainder of this division is indeed zero)
• 3 214: indeed, 3 214 = 1607 × 2
• 4 821: indeed, 4 821 = 1607 × 3
• 6 428: indeed, 6 428 = 1607 × 4
• 8 035: indeed, 8 035 = 1607 × 5
• etc.

## Nearest numbers from 1607

Find out whether some integer is a prime number