The number 97969
97969 is a perfect square (313²). Its prime factorisation is . Divisors (3): 1, 313, 97969.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97969: a perfect square (313²); the square of a prime (313²).
- 2
97969 is composite. Its prime factorisation is
- 3
The divisors add up to 98283; without 97969 itself that is 314, so 97969 is deficient (314 is less than 97969). Euler's totient φ(97969) = 97656 numbers up to 97969 share no factor with it.
- 4
The digits of 97969 add up to 40, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97969 = 313^{2} \]97969 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 98283 |
| Euler totient φ(n) | 97656 |
| Square | 9597924961 |
| Cube | 940299110504209 |
| Square root | 313 |
| Digit sum / digital root | 40 / 4 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7969 × |
| Perfect power |
97969 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand nine hundred and sixty-nine |
| Binary (base 2) | 10111111010110001 |
| Octal (base 8) | 277261 |
| Hexadecimal (base 16) | 17EB1 |
| Base 3 | 11222101111 |
| As time | 97969 seconds = 27 h 12 min 49 s |
Is 97969 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97969 a prime number?
No. 97969 = , so it is divisible by 313.
What are the factors of 97969?
1, 313, 97969.
What is 97969 in binary?
10111111010110001 (hexadecimal 17EB1, octal 277261).
What is the square root of 97969?
313, because 313 × 313 = 97969.
Is 97969 divisible by 3?
No. Its digits add up to 40, which is not a multiple of 3.
What is special about the number 97969?
97969 is a perfect square (313²); the square of a prime (313²).