# 827

## 827 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 827 look like?

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

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

## Prime factorization of 827:

### 827

See below for interesting mathematical facts about the number 827 from the Numbermatics database.

### Names of 827

• Cardinal: 827 can be written as Eight hundred twenty-seven.

### Scientific notation

• Scientific notation: 8.27 × 102

### Factors of 827

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 827

### Divisors of 827

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 828
• Sum of proper divisors (its aliquot sum) s(n): 1
• 827 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 826

### Bases of 827

• Binary: 11001110112
• Base-36: MZ

### Squares and roots of 827

• 827 squared (8272) is 683929
• 827 cubed (8273) is 565609283
• The square root of 827 is 28.7576076889
• The cube root of 827 is 9.3864600595

### Scales and comparisons

How big is 827?
• 827 seconds is equal to 13 minutes, 47 seconds.
• To count from 1 to 827 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 827 cubic inches would be around 0.8 feet tall.

### Recreational maths with 827

• 827 backwards is 728
• 827 is a twin prime! Its twin is 829
• The number of decimal digits it has is: 3
• The sum of 827's digits is 17
• More coming soon!