Saturday, February 4, 2017

Number of the day: 92645

Properties of the number 92645:

92645 = 5 × 7 × 2647 is a sphenic number and squarefree.
92645 has 3 distinct prime factors, 8 divisors, 13 antidivisors and 63504 totatives.
92645 has an emirpimes digit sum 26 in base 10.
Reversing the decimal digits of 92645 results in a prime.
92645 = (190 × 191)/2 + … + (194 × 195)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
92645 = 463232 - 463222 = 92672 - 92622 = 66212 - 66142 = 13412 - 13062 is the difference of 2 nonnegative squares in 4 ways.
92645 is the difference of 2 positive pentagonal numbers in 4 ways.
92645 = 22 + 152 + 3042 is the sum of 3 positive squares.
926452 = 555872 + 741162 is the sum of 2 positive squares in 1 way.
926452 is the sum of 3 positive squares.
92645 is a divisor of 24118 - 1.
92645 is palindromic in (at least) base -97.

The number 92645 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A205483: L.g.f.: Sum_{n>=1} x^n/n * Product_{d|n} (1 + d*x^n)^d.
A239429: Numbers n such that n^6+6 and n^6-6 are prime.

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