Friday, May 12, 2017

Number of the day: 85318

Properties of the number 85318:

85318 = 2 × 29 × 1471 is a sphenic number and squarefree.
85318 has 3 distinct prime factors, 8 divisors, 11 antidivisors and 41160 totatives.
85318 has a semiprime digit sum 25 in base 10.
Reversing the decimal digits of 85318 results in a sphenic number.
85318 is the sum of 2 positive triangular numbers.
85318 is the difference of 2 positive pentagonal numbers in 2 ways.
85318 = 272 + 582 + 2852 is the sum of 3 positive squares.
853182 = 588402 + 617822 is the sum of 2 positive squares in 1 way.
853182 is the sum of 3 positive squares.
85318 is a divisor of 52310 - 1.
85318 is palindromic in (at least) base -45.

The number 85318 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A059038: Triangle in A059037 read by rows from left to right.
A059039: Triangle in A059037 read by rows in natural order.
A090453: Third column (m=4) of array A090452.
A229082: Number of circular permutations i_0, i_1, ..., i_n of 0, 1, ..., n such that all the n+1 numbers i_0^2+i_1, i_1^2+i_2, ..., i_{n-1}^2+i_n, i_n^2+i_0 are of the form (p-1)/2 with p an odd prime.

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