# 9967

## 9,967 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 9967 look like?

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

9967 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 9967:

### 9967

See below for interesting mathematical facts about the number 9967 from the Numbermatics database.

### Names of 9967

• Cardinal: 9967 can be written as Nine thousand, nine hundred sixty-seven.

### Scientific notation

• Scientific notation: 9.967 × 103

### Factors of 9967

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 9967

### Divisors of 9967

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 9968
• Sum of proper divisors (its aliquot sum) s(n): 1
• 9967 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 9966

### Bases of 9967

• Binary: 100110111011112
• Base-36: 7OV

### Squares and roots of 9967

• 9967 squared (99672) is 99341089
• 9967 cubed (99673) is 990132634063
• The square root of 9967 is 99.8348636499
• The cube root of 9967 is 21.5206220021

### Scales and comparisons

How big is 9967?
• 9,967 seconds is equal to 2 hours, 46 minutes, 7 seconds.
• To count from 1 to 9,967 would take you about two hours.

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 9967 cubic inches would be around 1.8 feet tall.

### Recreational maths with 9967

• 9967 backwards is 7699
• The number of decimal digits it has is: 4
• The sum of 9967's digits is 31
• More coming soon!