# 3967

## 3,967 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 3967 look like?

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

3967 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 3967:

### 3967

See below for interesting mathematical facts about the number 3967 from the Numbermatics database.

### Names of 3967

• Cardinal: 3967 can be written as Three thousand, nine hundred sixty-seven.

### Scientific notation

• Scientific notation: 3.967 × 103

### Factors of 3967

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 3967

### Divisors of 3967

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 3968
• Sum of proper divisors (its aliquot sum) s(n): 1
• 3967 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 3966

### Bases of 3967

• Binary: 1111011111112
• Base-36: 327

### Squares and roots of 3967

• 3967 squared (39672) is 15737089
• 3967 cubed (39673) is 62429032063
• The square root of 3967 is 62.9841249839
• The cube root of 3967 is 15.8302363901

### Scales and comparisons

How big is 3967?
• 3,967 seconds is equal to 1 hour, 6 minutes, 7 seconds.
• To count from 1 to 3,967 would take you about six 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 3967 cubic inches would be around 1.3 feet tall.

### Recreational maths with 3967

• 3967 backwards is 7693
• The number of decimal digits it has is: 4
• The sum of 3967's digits is 25
• More coming soon!