# 125821

## 125,821 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 125821 look like?

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

125821 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 125821:

### 125821

See below for interesting mathematical facts about the number 125821 from the Numbermatics database.

### Names of 125821

• Cardinal: 125821 can be written as One hundred twenty-five thousand, eight hundred twenty-one.

### Scientific notation

• Scientific notation: 1.25821 × 105

### Factors of 125821

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 125821

### Divisors of 125821

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 125822
• Sum of proper divisors (its aliquot sum) s(n): 1
• 125821 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 125820

### Bases of 125821

• Binary: 111101011011111012
• Base-36: 2P31

### Squares and roots of 125821

• 125821 squared (1258212) is 15830924041
• 125821 cubed (1258213) is 1991862693762661
• The square root of 125821 is 354.7125596875
• The cube root of 125821 is 50.1092278783

### Scales and comparisons

How big is 125821?
• 125,821 seconds is equal to 1 day, 10 hours, 57 minutes, 1 second.
• To count from 1 to 125,821 would take you about ten 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 125821 cubic inches would be around 4.2 feet tall.

### Recreational maths with 125821

• 125821 backwards is 128521
• The number of decimal digits it has is: 6
• The sum of 125821's digits is 19
• More coming soon!