# 967

## 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 967 look like?

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

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

## Prime factorization of 967:

### 967

See below for interesting mathematical facts about the number 967 from the Numbermatics database.

### Names of 967

• Cardinal: 967 can be written as Nine hundred sixty-seven.

### Scientific notation

• Scientific notation: 9.67 × 102

### Factors of 967

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 967

### Divisors of 967

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 968
• Sum of proper divisors (its aliquot sum) s(n): 1
• 967 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 966

### Bases of 967

• Binary: 11110001112
• Base-36: QV

### Squares and roots of 967

• 967 squared (9672) is 935089
• 967 cubed (9673) is 904231063
• The square root of 967 is 31.0966236111
• The cube root of 967 is 9.8887673165

### Scales and comparisons

How big is 967?
• 967 seconds is equal to 16 minutes, 7 seconds.
• To count from 1 to 967 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 967 cubic inches would be around 0.8 feet tall.

### Recreational maths with 967

• 967 backwards is 769
• The number of decimal digits it has is: 3
• The sum of 967's digits is 22
• More coming soon!