# 825

## 825 is an odd composite number composed of three prime numbers multiplied together.

What does the number 825 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

825 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 825:

### 3 × 52 × 11

(3 × 5 × 5 × 11)

See below for interesting mathematical facts about the number 825 from the Numbermatics database.

### Names of 825

• Cardinal: 825 can be written as Eight hundred twenty-five.

### Scientific notation

• Scientific notation: 8.25 × 102

### Factors of 825

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 19

### Divisors of 825

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 1488
• Sum of proper divisors (its aliquot sum) s(n): 663
• 825 is a deficient number, because the sum of its proper divisors (663) is less than itself. Its deficiency is 162

### Bases of 825

• Binary: 11001110012
• Base-36: MX

### Squares and roots of 825

• 825 squared (8252) is 680625
• 825 cubed (8253) is 561515625
• The square root of 825 is 28.7228132327
• The cube root of 825 is 9.3788872767

### Scales and comparisons

How big is 825?
• 825 seconds is equal to 13 minutes, 45 seconds.
• To count from 1 to 825 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 825 cubic inches would be around 0.8 feet tall.

### Recreational maths with 825

• 825 backwards is 528
• 825 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 825's digits is 15
• More coming soon!