Is 1997 a prime number? What are the divisors of 1997?

Is 1997 a prime number?

Yes, 1997 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 1997, the only two divisors are 1 and 1997. Therefore 1997 is a prime number.

As a consequence, 1997 is only a multiple of 1 and 1997.

Therefore year 1997 was a prime year.

Since 1997 is a prime number, 1997 is also a deficient number, that is to say 1997 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1997 without 1997 itself (that is 1, by definition!).

Parity of 1997

1997 is an odd number, because it is not evenly divisible by 2.

Is 1997 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 1997 is about 44.688.

Thus, the square root of 1997 is not an integer, and therefore 1997 is not a square number.

Anyway, 1997 is a prime number, and a prime number cannot be a perfect square.

What is the square number of 1997?

The square of a number (here 1997) is the result of the product of this number (1997) by itself (i.e., 1997 × 1997); the square of 1997 is sometimes called "raising 1997 to the power 2", or "1997 squared".

The square of 1997 is 3 988 009 because 1997 × 1997 = 19972 = 3 988 009.

As a consequence, 1997 is the square root of 3 988 009.

Number of digits of 1997

1997 is a number with 4 digits.

What are the multiples of 1997?

The multiples of 1997 are all integers evenly divisible by 1997, that is all numbers such that the remainder of the division by 1997 is zero. There are infinitely many multiples of 1997. The smallest multiples of 1997 are:

  • 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1997 too, since 0 × 1997 = 0
  • 1997: indeed, 1997 is a multiple of itself, since 1997 is evenly divisible by 1997 (we have 1997 / 1997 = 1, so the remainder of this division is indeed zero)
  • 3 994: indeed, 3 994 = 1997 × 2
  • 5 991: indeed, 5 991 = 1997 × 3
  • 7 988: indeed, 7 988 = 1997 × 4
  • 9 985: indeed, 9 985 = 1997 × 5
  • etc.

Numbers near 1997

Nearest numbers from 1997

Find out whether some integer is a prime number