Number of the day: 4675

Properties of the number 4675:

4675 = 5² × 11 × 17 is the 4042^th composite number and is not squarefree.
4675 has 3 distinct prime factors, 12 divisors, 15 antidivisors and 3200 totatives.
4675 has a semiprime digit sum 22 in base 10.
4675 = 2338² - 2337² = 470² - 465² = 218² - 207² = 146² - 129² = 106² - 81² = 70² - 15² is the difference of 2 nonnegative squares in 6 ways.
4675 is the sum of 2 positive triangular numbers.
4675 is the difference of 2 positive pentagonal numbers in 6 ways.
4675 = 9² + 25² + 63² is the sum of 3 positive squares.
4675² = 2200² + 4125² = 715² + 4620² = 1980² + 4235² = 3267² + 3344² = 957² + 4576² = 2805² + 3740² = 1309² + 4488² is the sum of 2 positive squares in 7 ways.
4675² is the sum of 3 positive squares.
4675 is a divisor of 307⁴ - 1.
4675 = '467' + '5' is the concatenation of 2 prime numbers.
4675 is palindromic in (at least) the following bases: 57, 84, -29, and -82.
4675 in base 30 = 55p and consists of only the digits '5' and 'p'.
4675 in base 56 = 1RR and consists of only the digits '1' and 'R'.
4675 in base 57 = 1P1 and consists of only the digits '1' and 'P'.

The number 4675 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A051798: a(n) = (n+1)*(n+2)*(n+3)*(9n+4)/24.
A091635: Number of primes less than 10^n which do not contain the digit 1.
A129995: a(n) = (n + 1)*(n^2 + 2)*(n^3 + 3)*(n^4 + 4)/4!.
A143127: Sum of k*d(k) over k=1,2,...,n, where d(k) is the number of divisors of k.
A157405: A partition product of Stirling_2 type [parameter k = 5] with biggest-part statistic (triangle read by rows).
A216995: Multiples of 11 such that the digit sum is a multiple of 11.
A217088: Numbers n such that (n^89-1)/(n-1) is prime.
A217844: Numbers which are the sums of consecutive fourth powers.
A228413: Count of the first 10^n primes which do not contain the digit 1.
A237823: Number of partitions of n such that (greatest part) + (least part) <= number of parts.