Number of the day: 36285

Properties of the number 36285:

36285 = 3 × 5 × 41 × 59 is the 32434^th composite number and is squarefree.
36285 has 4 distinct prime factors, 16 divisors, 21 antidivisors and 18560 totatives.
Reversing the decimal digits of 36285 results in a semiprime.
36285 = 18143² - 18142² = 6049² - 6046² = 3631² - 3626² = 1217² - 1202² = 463² - 422² = 337² - 278² = 209² - 86² = 191² - 14² is the difference of 2 nonnegative squares in 8 ways.
36285 is the difference of 2 positive pentagonal numbers in 3 ways.
36285 = 10² + 29² + 188² is the sum of 3 positive squares.
36285² = 14868² + 33099² = 7965² + 35400² = 23541² + 27612² = 21771² + 29028² is the sum of 2 positive squares in 4 ways.
36285² is the sum of 3 positive squares.
36285 is a divisor of 1063⁸ - 1.
36285 = '362' + '85' is the concatenation of 2 semiprime numbers.

The number 36285 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A082967: Numbers n such that mu(n) + mu(n+1) + mu(n+2) + mu(n+3) + mu(n+4) + mu(n+5) + mu(n+6) = 6.
A204869: Number of (n+1)X2 0..3 arrays with the permanents of all 2X2 subblocks equal and nonzero
A204874: Number of (n+1)X7 0..3 arrays with the permanents of all 2X2 subblocks equal and nonzero
A204876: T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the permanents of all 2X2 subblocks equal and nonzero
A216803: Govindarajan's triangle C arising in enumeration of multi-dimensional partitions, read by rows.