The number 97
97 is the 25th prime number. Its only divisors are 1 and 97.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97: the 25th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97 is prime, so its only factors are 1 and 97. It is the 25th prime; the next prime is 101 and the one before is 89.
- 3
The divisors add up to 98; without 97 itself that is 1, so 97 is deficient (1 is less than 97). Euler's totient φ(97) = 96 numbers up to 97 share no factor with it.
- 4
The digits of 97 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
97 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 98 |
| Euler totient φ(n) | 96 |
| Square | 9409 |
| Cube | 912673 |
| Square root | 9.848858 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 118 |
| Scientific notation | 9.7 × |
97 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven |
| Roman numerals | XCVII |
| Binary (base 2) | 1100001 |
| Octal (base 8) | 141 |
| Hexadecimal (base 16) | 61 |
| Base 3 | 10121 |
| As time | 97 seconds = 1 min 37 s |
Is 97 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 2) | 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 6) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 97 a prime number?
Yes. 97 is divisible only by 1 and itself.
What are the factors of 97?
1, 97.
What is 97 in binary?
1100001 (hexadecimal 61, octal 141).
What is the square root of 97?
About 9.8489.
What is 97 in Roman numerals?
XCVII.
Is 97 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 97?
97 is the 25th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.