Number of the day: 23085

Properties of the number 23085:

23085 = 3⁵ × 5 × 19 is the 20506^th composite number and is not squarefree.
23085 has 3 distinct prime factors, 24 divisors, 25 antidivisors and 11664 totatives.
23085 = 24³ + 21³ is the sum of 2 positive cubes in 1 way.
23085 is the difference of 2 nonnegative squares in 12 ways.
23085 = 5² + 34² + 148² is the sum of 3 positive squares.
23085² = 13851² + 18468² is the sum of 2 positive squares in 1 way.
23085² is the sum of 3 positive squares.
23085 is a divisor of 809⁶ - 1.
23085 is palindromic in (at least) the following bases: 2, and 8.
23085 in base 8 = 55055 and consists of only the digits '0' and '5'.

The number 23085 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A005565: Number of walks on square lattice.
A035024: Expansion of 1/(1-81*x)^(1/9), related to 9-factorial numbers A045756.
A035984: Number of partitions of n into parts not of the form 21k, 21k+6 or 21k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 9 are greater than 1.
A043444: Numbers n such that number of 5's in base 8 is 4.
A046320: Odd numbers divisible by exactly 7 primes (counted with multiplicity).
A085337: Numbers which are sums of two, three and four cubes.
A157948: 64n^2 - n
A158595: 361n^2 - 19.
A259380: Palindromic numbers in bases 2 and 8 written in base 10.
A276984: Sum of squares of numbers less than n that do not divide n.