# 997

## 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 997 look like?

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

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

## Prime factorization of 997:

### 997

See below for interesting mathematical facts about the number 997 from the Numbermatics database.

### Names of 997

• Cardinal: 997 can be written as Nine hundred ninety-seven.

### Scientific notation

• Scientific notation: 9.97 × 102

### Factors of 997

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 997

### Divisors of 997

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 998
• Sum of proper divisors (its aliquot sum) s(n): 1
• 997 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 996

### Bases of 997

• Binary: 11111001012
• Hexadecimal: 0x3E5
• Base-36: RP

### Squares and roots of 997

• 997 squared (9972) is 994009
• 997 cubed (9973) is 991026973
• The square root of 997 is 31.5753068077
• The cube root of 997 is 9.9899899833

### Scales and comparisons

How big is 997?
• 997 seconds is equal to 16 minutes, 37 seconds.
• To count from 1 to 997 would take you about eight 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 997 cubic inches would be around 0.8 feet tall.

### Recreational maths with 997

• 997 backwards is 799
• The number of decimal digits it has is: 3
• The sum of 997's digits is 25
• More coming soon!

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The information we have on file for 997 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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