# 823

## 823 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 823 look like?

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

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

## Prime factorization of 823:

### 823

See below for interesting mathematical facts about the number 823 from the Numbermatics database.

### Names of 823

• Cardinal: 823 can be written as Eight hundred twenty-three.

### Scientific notation

• Scientific notation: 8.23 × 102

### Factors of 823

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 823

### Divisors of 823

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 824
• Sum of proper divisors (its aliquot sum) s(n): 1
• 823 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 822

### Bases of 823

• Binary: 11001101112
• Base-36: MV

### Squares and roots of 823

• 823 squared (8232) is 677329
• 823 cubed (8233) is 557441767
• The square root of 823 is 28.6879765755
• The cube root of 823 is 9.3713022455

### Scales and comparisons

How big is 823?
• 823 seconds is equal to 13 minutes, 43 seconds.
• To count from 1 to 823 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 823 cubic inches would be around 0.8 feet tall.

### Recreational maths with 823

• 823 backwards is 328
• The number of decimal digits it has is: 3
• The sum of 823's digits is 13
• More coming soon!