Number of the day: 706

Properties of the number 706:

706 = 2 × 353 is semiprime and squarefree.
706 has 2 distinct prime factors, 4 divisors, 7 antidivisors and 352 totatives.
706 has an emirp digit sum 13 in base 10.
706 has a Fibonacci digit sum 13 in base 10.
Reversing the decimal digits of 706 results in a prime.
706 is the sum of 2 positive triangular numbers.
706 is the difference of 2 positive pentagonal numbers in 2 ways.
706 is the difference of 2 positive pentagonal pyramidal numbers in 1 way.
706 = 9² + 25² is the sum of 2 positive squares in 1 way.
706 = 15² + 15² + 16² is the sum of 3 positive squares.
706² = 450² + 544² is the sum of 2 positive squares in 1 way.
706² is the sum of 3 positive squares.
706 is a divisor of 311⁴ - 1.
706 is an emirpimes in (at least) the following bases: 4, 9, 11, 17, 20, 22, 25, 27, 29, 31, 32, 40, 41, 47, 48, 50, 51, 53, 60, 66, 69, 71, 76, 78, 79, 83, 85, 87, 89, 90, 95, 98, and 99.
706 is palindromic in (at least) the following bases: 13, 16, -22, and -47.
706 in base 12 = 4aa and consists of only the digits '4' and 'a'.
706 in base 13 = 424 and consists of only the digits '2' and '4'.
706 in base 16 = 2c2 and consists of only the digits '2' and 'c'.
706 in base 26 = 114 and consists of only the digits '1' and '4'.

The number 706 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000698: A problem of configurations: a(0) = 1; for n>0, a(n) = (2n-1)!! - Sum_{k=1..n-1} (2k-1)!! a(n-k). Also the number of shellings of an n-cube, divided by 2^n n!.
A003336: Numbers that are the sum of 2 nonzero 4th powers.
A006753: Smith (or joke) numbers: composite numbers n such that sum of digits of n = sum of digits of prime factors of n (counted with multiplicity).
A051225: Bernoulli number B_{2n} has denominator 30.
A052329: Number of rooted trees with a forbidden limb of length 6.
A055013: Sum of 4th powers of digits of n.
A056109: Fifth spoke of a hexagonal spiral.
A100037: Positions of occurrences of the natural numbers as second subsequence in A100035.
A181568: Numbers n such that the largest prime factor of n^2-1 is 101.
A213249: Triangle T(n,k) of numbers of distinct shapes under rotation of non-extendable (complete) non-self-adjacent simple paths within a square lattice bounded by rectangles with nodal dimensions n and k, n >= k >= 2.