97 (number)

Source: Wikipedia, the free encyclopedia.
← 96 97 98 →
Cardinalninety-seven
Ordinal97th
(ninety-seventh)
Factorizationprime
Prime25th
Divisors1, 97
Greek numeralϞΖ´
Roman numeralXCVII
Binary11000012
Ternary101213
Senary2416
Octal1418
Duodecimal8112
Hexadecimal6116

97 (ninety-seven) is the natural number following 96 and preceding 98. It is a prime number and the only prime in the nineties.

In mathematics

97 is:

  • the 25th
    base 10), following 89 and preceding 101
    .
  • a Proth prime and a Pierpont prime as it is 3 × 25 + 1.[1]
  • the eleventh member of the Mian–Chowla sequence.[2]
  • a self number in base 10, since there is no integer that added to its own digits, adds up to 97.[3]
  • the smallest odd prime that is not a cluster prime.[4]
  • the highest two-digit number where the sum of its digits is a square.
  • the number of primes <= 29.[5]
  • The numbers 97, 907, 9007, 90007 and 900007 are all primes, and they are all
    happy primes. However, 9000007 (read as nine million seven) is composite and has the factorisation 277
    × 32491.
  • an emirp
  • an isolated prime, since 95 and 99 aren't prime.

In science

Ninety-seven is:

In astronomy

In other fields

Ninety-seven is:

In music

See also

References

  1. ^ "Sloane's A080076 : Proth primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  2. ^ "Sloane's A005282 : Mian-Chowla sequence". The On-Line Encyclopedia of integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  3. ^ "Sloane's A003052 : Self numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A038133 (Odd primes that are not cluster primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-08-19.
  5. ^ Sloane, N. J. A. (ed.). "Sequence A007053". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-06-02.
  6. ^ "Unicode Lookup: convert special characters". unicodelookup.com.