# 65625

## 65,625 is an odd composite number composed of three prime numbers multiplied together.

What does the number 65625 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

65625 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 65625:

### 3 × 55 × 7

(3 × 5 × 5 × 5 × 5 × 5 × 7)

See below for interesting mathematical facts about the number 65625 from the Numbermatics database.

### Names of 65625

• Cardinal: 65625 can be written as Sixty-five thousand, six hundred twenty-five.

### Scientific notation

• Scientific notation: 6.5625 × 104

### Factors of 65625

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 15

### Divisors of 65625

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 124992
• Sum of proper divisors (its aliquot sum) s(n): 59367
• 65625 is a deficient number, because the sum of its proper divisors (59367) is less than itself. Its deficiency is 6258

### Bases of 65625

• Binary: 100000000010110012
• Base-36: 1EMX

### Squares and roots of 65625

• 65625 squared (656252) is 4306640625
• 65625 cubed (656253) is 282623291015625
• The square root of 65625 is 256.1737691489
• The cube root of 65625 is 40.3357161509

### Scales and comparisons

How big is 65625?
• 65,625 seconds is equal to 18 hours, 13 minutes, 45 seconds.
• To count from 1 to 65,625 would take you about eighteen hours.

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 65625 cubic inches would be around 3.4 feet tall.

### Recreational maths with 65625

• 65625 backwards is 52656
• The number of decimal digits it has is: 5
• The sum of 65625's digits is 24
• More coming soon!