# 971

## 971 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 971 look like?

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

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

## Prime factorization of 971:

### 971

See below for interesting mathematical facts about the number 971 from the Numbermatics database.

### Names of 971

• Cardinal: 971 can be written as Nine hundred seventy-one.

### Scientific notation

• Scientific notation: 9.71 × 102

### Factors of 971

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 971

### Divisors of 971

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 972
• Sum of proper divisors (its aliquot sum) s(n): 1
• 971 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 970

### Bases of 971

• Binary: 11110010112
• Base-36: QZ

### Squares and roots of 971

• 971 squared (9712) is 942841
• 971 cubed (9713) is 915498611
• The square root of 971 is 31.1608729017
• The cube root of 971 is 9.9023835367

### Scales and comparisons

How big is 971?
• 971 seconds is equal to 16 minutes, 11 seconds.
• To count from 1 to 971 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 971 cubic inches would be around 0.8 feet tall.

### Recreational maths with 971

• 971 backwards is 179
• The number of decimal digits it has is: 3
• The sum of 971's digits is 17
• More coming soon!