Number of the day: 612705

Leonhard Euler was born on this day 310 years ago.

Properties of the number 612705:

612705 = 3 × 5 × 40847 is a sphenic number and squarefree.
612705 has 3 distinct prime factors, 8 divisors, 13 antidivisors and 326768 totatives.
612705 has a semiprime digit sum 21 in base 10.
612705 has a Fibonacci digit sum 21 in base 10.
612705 has a triangular digit sum 21 in base 10.
612705 = 306353² - 306352² = 102119² - 102116² = 61273² - 61268² = 20431² - 20416² is the difference of 2 nonnegative squares in 4 ways.
612705 is the difference of 2 positive pentagonal numbers in 2 ways.
612705 = 5² + 34² + 782² is the sum of 3 positive squares.
612705² = 367623² + 490164² is the sum of 2 positive squares in 1 way.
612705² is the sum of 3 positive squares.
612705 is a divisor of 991¹⁵⁷¹ - 1.
612705 is palindromic in (at least) base 90.

The number 612705 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A264649: Number of (n+1)X(2+1) arrays of permutations of 0..n*3+2 with each element having directed index change 1,1 2,2 -1,0 or 0,-1.