Is 1609 a prime number? What are the divisors of 1609?

Is 1609 a prime number?

Yes, 1609 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 1609, the only two divisors are 1 and 1609. Therefore 1609 is a prime number.

As a consequence, 1609 is only a multiple of 1 and 1609.

Since 1609 is a prime number, 1609 is also a deficient number, that is to say 1609 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1609 without 1609 itself (that is 1, by definition!).

Parity of 1609

1609 is an odd number, because it is not evenly divisible by 2.

Is 1609 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 1609 is about 40.112.

Thus, the square root of 1609 is not an integer, and therefore 1609 is not a square number.

Anyway, 1609 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 1609?

The square of a number (here 1609) is the result of the product of this number (1609) by itself (i.e., 1609 × 1609); the square of 1609 is sometimes called "raising 1609 to the power 2", or "1609 squared".

The square of 1609 is 2 588 881 because 1609 × 1609 = 16092 = 2 588 881.

As a consequence, 1609 is the square root of 2 588 881.

Number of digits of 1609

1609 is a number with 4 digits.

What are the multiples of 1609?

The multiples of 1609 are all integers evenly divisible by 1609, that is all numbers such that the remainder of the division by 1609 is zero. There are infinitely many multiples of 1609. The smallest multiples of 1609 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1609 too, since 0 × 1609 = 0
  • 1609: indeed, 1609 is a multiple of itself, since 1609 is evenly divisible by 1609 (we have 1609 / 1609 = 1, so the remainder of this division is indeed zero)
  • 3 218: indeed, 3 218 = 1609 × 2
  • 4 827: indeed, 4 827 = 1609 × 3
  • 6 436: indeed, 6 436 = 1609 × 4
  • 8 045: indeed, 8 045 = 1609 × 5
  • etc.

Numbers near 1609

Nearest numbers from 1609

Find out whether some integer is a prime number