97 (number)

97 (ninety-seven) is the natural number following 96 and preceding 98.

In mathematics

97 is the 25th prime number, a happy prime, and an emirp with 79. It is the smallest odd prime that is not a cluster prime. Because 97 = 3 × 2⁵ + 1, 97 is a Proth prime and a Pierpont prime. There are 97 primes less than 2⁹.

97 is the eleventh member of the Mian–Chowla sequence.

Since there is no integer that added to its own digits adds up to 97, 97 is a self number in base 10.

${\displaystyle {\frac {97}{56}}=1.732{\color {red}1428}\ldots }$ is a commonly used approximation of the irrational number √3.^{[citation needed]}

References