Number of the day: 4353

Properties of the number 4353:

4353 = 3 × 1451 is semiprime and squarefree.
4353 has 2 distinct prime factors, 4 divisors, 5 antidivisors and 2900 totatives.
4353 has an emirpimes digit sum 15 in base 10.
4353 has a triangular digit sum 15 in base 10.
4353 = 2177² - 2176² = 727² - 724² is the difference of 2 nonnegative squares in 2 ways.
4353 is the difference of 2 positive pentagonal numbers in 1 way.
4353 = 1² + 16² + 64² is the sum of 3 positive squares.
4353² is the sum of 3 positive squares.
4353 is a divisor of 1021⁵ - 1.
4353 = '43' + '53' is the concatenation of 2 prime numbers.
4353 = '435' + '3' is the concatenation of 2 triangular numbers.
4353 is an emirpimes in (at least) the following bases: 17, 19, 25, 28, 33, 35, 36, 37, 39, 43, 45, 51, 54, 60, 62, 63, 65, 66, 71, 79, and 84.
4353 is palindromic in (at least) the following bases: 8, 64, -8, -27, and -68.
4353 in base 4 = 1010001 and consists of only the digits '0' and '1'.
4353 in base 16 = 1101 and consists of only the digits '0' and '1'.
4353 in base 17 = f11 and consists of only the digits '1' and 'f'.
4353 in base 26 = 6bb and consists of only the digits '6' and 'b'.
4353 in base 29 = 553 and consists of only the digits '3' and '5'.
4353 in base 46 = 22T and consists of only the digits '2' and 'T'.

The number 4353 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A005744: G.f.: x*(1+x-x^2)/((1-x)^4*(1+x)).
A029705: Squarefree n such that Q(sqrt(n)) has class number 5.
A033052: a(1) = 1, a(2n) = 16a(n), a(2n+1) = a(2n)+1.
A033679: a(1) = 2; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.
A114166: Numbers n such that p(5n) is prime, where p(n) is the number of partitions of n.
A135110: Positive numbers such that the digital sum base 2 and the digital sum base 10 are in a ratio of 2:10.
A186651: Total number of positive integers below 10^n requiring 3 positive biquadrates in their representation as sum of biquadrates.
A195146: Concentric 16-gonal numbers.
A254204: T(n,k)=Number of length n 1..(k+2) arrays with no leading or trailing partial sum equal to a prime
A269494: T(n,k)=Number of length-n 0..k arrays with no repeated value differing from the previous repeated value by one.