97 (number)
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97 is a natural number between 96 and 98. In the decimal system, it is written as two digits: 9 represents the tens place and 7 represents the ones place.
97 is a prime number, meaning it cannot be divided by any natural number other than 1 and itself. It is the 25th prime number and the largest prime number less than 100.
Mathematical properties
97 is an odd number. When divided by 2, the remainder is 1. The sum of its digits is 9 + 7 = 16. Like all prime numbers greater than 3, it takes the form 6n ± 1; in this case, 97 = 6 × 16 + 1.
97 is also among the primes of the form 4k + 1 (97 = 4 × 24 + 1). According to Fermat's theorem on sums of two squares, primes of this form can be expressed as the sum of two squares: 97 = 16 + 81, which equals 4² + 9².
Other number systems
In the binary system, 97 is 1100001. In hexadecimal, it is 61. In Roman numerals, it is written XCVII.
General use
The number 97 appears in various numbering and coding systems, such as region codes, year shorthand (for example '97 for 1997), and technological applications. The significance of such uses depends on the system in which it is employed and is not an intrinsic property of the number itself.