Sunday, March 11, 2018

Number of the day: 97927

Properties of the number 97927:

97927 is a cyclic number.
97927 is the 9412th prime.
97927 has 21 antidivisors and 97926 totatives.
97927 has a semiprime digit sum 34 in base 10.
97927 has a Fibonacci digit sum 34 in base 10.
Reversing the decimal digits of 97927 results in a sphenic number.
97927 = 489642 - 489632 is the difference of 2 nonnegative squares in 1 way.
97927 is the difference of 2 positive pentagonal numbers in 1 way.
97927 is not the sum of 3 positive squares.
979272 is the sum of 3 positive squares.
97927 is a proper divisor of 263859 - 1.
97927 is an emirp in (at least) the following bases: 4, 5, 11, 21, 23, 24, 26, 27, 33, 39, 43, 46, 49, 50, 51, 56, 61, 69, 79, 84, 85, and 92.
97927 is palindromic in (at least) the following bases: 91, and -63.
97927 in base 52 = aBB and consists of only the digits 'B' and 'a'.
97927 in base 62 = PTT and consists of only the digits 'P' and 'T'.

The number 97927 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A060110: Numbers in Morse code, with 1 for a dot, 2 for a dash and 0 between digits/letters and then converting from base 3 to base 10.
A236042: Primes p such that 100*p+1, 100*p+3, 100*p+7, and 100*p+9 are all prime.

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