# 98009

## 98,009 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 98009 look like?

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

98009 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 98009:

### 98009

See below for interesting mathematical facts about the number 98009 from the Numbermatics database.

### Names of 98009

• Cardinal: 98009 can be written as Ninety-eight thousand and nine.

### Scientific notation

• Scientific notation: 9.8009 × 104

### Factors of 98009

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 98009

### Divisors of 98009

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 98010
• Sum of proper divisors (its aliquot sum) s(n): 1
• 98009 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 98008

### Bases of 98009

• Binary: 101111110110110012
• Base-36: 23MH

### Squares and roots of 98009

• 98009 squared (980092) is 9605764081
• 98009 cubed (980093) is 941451331814729
• The square root of 98009 is 313.0638912427
• The cube root of 98009 is 46.1057742353

### Scales and comparisons

How big is 98009?
• 98,009 seconds is equal to 1 day, 3 hours, 13 minutes, 29 seconds.
• To count from 1 to 98,009 would take you about three 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 98009 cubic inches would be around 3.8 feet tall.

### Recreational maths with 98009

• 98009 backwards is 90089
• 98009 is a twin prime! Its twin is 98011
• The number of decimal digits it has is: 5
• The sum of 98009's digits is 26
• More coming soon!