# 966

## 966 is an even composite number composed of four prime numbers multiplied together.

What does the number 966 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 16 divisors.

966 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixteen divisors.

## Prime factorization of 966:

### 2 × 3 × 7 × 23

See below for interesting mathematical facts about the number 966 from the Numbermatics database.

### Names of 966

• Cardinal: 966 can be written as Nine hundred sixty-six.

### Scientific notation

• Scientific notation: 9.66 × 102

### Factors of 966

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 35

### Divisors of 966

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 2304
• Sum of proper divisors (its aliquot sum) s(n): 1338
• 966 is an abundant number, because the sum of its proper divisors (1338) is greater than itself. Its abundance is 372

### Bases of 966

• Binary: 11110001102
• Base-36: QU

### Squares and roots of 966

• 966 squared (9662) is 933156
• 966 cubed (9663) is 901428696
• The square root of 966 is 31.0805405357
• The cube root of 966 is 9.8853573965

### Scales and comparisons

How big is 966?
• 966 seconds is equal to 16 minutes, 6 seconds.
• To count from 1 to 966 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 966 cubic inches would be around 0.8 feet tall.

### Recreational maths with 966

• 966 backwards is 669
• 966 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 966's digits is 21
• More coming soon!