# 1997

## 1,997 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 1997 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

1997 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1997:

### 1997

See below for interesting mathematical facts about the number 1997 from the Numbermatics database.

### Names of 1997

• Cardinal: 1997 can be written as One thousand, nine hundred ninety-seven.

### Scientific notation

• Scientific notation: 1.997 × 103

### Factors of 1997

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1997

### Divisors of 1997

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1998
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1997 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1996

### Bases of 1997

• Binary: 111110011012
• Base-36: 1JH

### Squares and roots of 1997

• 1997 squared (19972) is 3988009
• 1997 cubed (19973) is 7964053973
• The square root of 1997 is 44.6878059431
• The cube root of 1997 is 12.5929077413

### Scales and comparisons

How big is 1997?
• 1,997 seconds is equal to 33 minutes, 17 seconds.
• To count from 1 to 1,997 would take you about thirty-three minutes.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 1997 cubic inches would be around 1 feet tall.

### Recreational maths with 1997

• 1997 backwards is 7991
• 1997 is a twin prime! Its twin is 1999
• The number of decimal digits it has is: 4
• The sum of 1997's digits is 26
• More coming soon!