Number of the day: 73871

Alan Turing was born on this day 106 years ago.

Properties of the number 73871:

73871 is a cyclic number.
73871 = 7 × 61 × 173 is a sphenic number and squarefree.
73871 has 3 distinct prime factors, 8 divisors, 21 antidivisors and 61920 totatives.
73871 has an emirpimes digit sum 26 in base 10.
73871 has a triangular digit product 1176 in base 10.
Reversing the decimal digits of 73871 results in a prime.
73871 = 49² + … + 69² is the sum of at least 2 consecutive positive squares in 1 way.
73871 = 36936² - 36935² = 5280² - 5273² = 636² - 575² = 300² - 127² is the difference of 2 nonnegative squares in 4 ways.
73871 is the difference of 2 positive pentagonal numbers in 4 ways.
73871 is not the sum of 3 positive squares.
73871² = 22204² + 70455² = 9135² + 73304² = 34545² + 65296² = 13321² + 72660² is the sum of 2 positive squares in 4 ways.
73871² is the sum of 3 positive squares.
73871 is a proper divisor of 599¹² - 1.
73871 is palindromic in (at least) the following bases: -43, -44, -47, and -66.
73871 in base 43 = dee and consists of only the digits 'd' and 'e'.
73871 in base 46 = Yff and consists of only the digits 'Y' and 'f'.

The number 73871 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A084251: G.f.: A(x) = exp(sum(n>=1, A084250(n)*x^n/n)), where A084250 lists the least distinct positive integers that allow A(x) to be an integer power series.