# 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
• 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!