Number of the day: 623

Properties of the number 623:

623 is a cyclic number.
623 = 7 × 89 is semiprime and squarefree.
623 has 2 distinct prime factors, 4 divisors, 11 antidivisors and 528 totatives.
623 has a prime digit sum 11 in base 10.
623 has a triangular digit product 36 in base 10.
Reversing the decimal digits of 623 results in an emirpimes.
623 = 4³ + 6³ + 7³ is the sum of 3 positive cubes in 1 way.
623 = 312² - 311² = 48² - 41² is the difference of 2 nonnegative squares in 2 ways.
623 is the sum of 2 positive triangular numbers.
623 is the difference of 2 positive pentagonal numbers in 2 ways.
623 is not the sum of 3 positive squares.
623² = 273² + 560² is the sum of 2 positive squares in 1 way.
623² is the sum of 3 positive squares.
623 is a proper divisor of 179³ - 1.
623 is an emirpimes in (at least) the following bases: 2, 4, 10, 14, 15, 17, 19, 22, 24, 27, 28, 29, 36, 38, 39, 43, 49, 51, 54, 56, 57, 59, 61, 64, 65, 66, 67, 73, 74, 78, 83, 84, 93, 95, 97, and 100.
623 is palindromic in (at least) the following bases: 88, and -23.
623 in base 5 = 4443 and consists of only the digits '3' and '4'.
623 in base 17 = 22b and consists of only the digits '2' and 'b'.
623 in base 24 = 11n and consists of only the digits '1' and 'n'.

The number 623 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000701: One half of number of non-self-conjugate partitions; also half of number of asymmetric Ferrers graphs with n nodes.
A008865: a(n) = n^2 - 2.
A014616: a(n) = solution to the postage stamp problem with 2 denominations and n stamps.
A027187: Number of partitions of n into an even number of parts.
A036236: Least inverse of A015910: smallest integer k > 0 such that 2^k mod k = n, or 0 if no such k exists.
A038622: Triangular array that counts rooted polyominoes.
A127820: a(n) = least k such that the remainder when 12^k is divided by k is n.
A183010: a(n) = 24*n - 1.
A284119: Preperiod (or threshold) of orbit of Post's {00, 1101} tag system applied to the word (100)^n, or -1 if this word has an unbounded trajectory.
A316652: Number of series-reduced rooted trees whose leaves span an initial interval of positive integers with multiplicities an integer partition of n.