Number of the day: 337

Properties of the number 337:

337 is the 68^th prime.
337 has 11 antidivisors and 336 totatives.
337 has an emirp digit sum 13 in base 10.
337 has a Fibonacci digit sum 13 in base 10.
Reversing the decimal digits of 337 results in an emirp.
337 = 169² - 168² is the difference of 2 nonnegative squares in 1 way.
337 is the difference of 2 positive pentagonal numbers in 1 way.
337 = 9² + 16² is the sum of 2 positive squares in 1 way.
337 = 2² + 3² + 18² is the sum of 3 positive squares.
337² = 175² + 288² is the sum of 2 positive squares in 1 way.
337² is the sum of 3 positive squares.
337 is a divisor of 673² - 1.
337 = '3' + '37' is the concatenation of 2 prime numbers.
337 is an emirp in (at least) the following bases: 2, 4, 5, 6, 7, 10, 11, 19, 21, 23, 25, 33, 34, 37, 39, 44, 45, 47, 49, 53, 57, 58, 64, 66, 67, 71, 77, 79, 83, 88, 91, 95, and 98.
337 is palindromic in (at least) the following bases: 9, 14, 16, -21, -24, -28, -42, -48, -56, and -84.
337 in base 3 = 110111 and consists of only the digits '0' and '1'.
337 in base 4 = 11101 and consists of only the digits '0' and '1'.
337 in base 5 = 2322 and consists of only the digits '2' and '3'.
337 in base 7 = 661 and consists of only the digits '1' and '6'.
337 in base 9 = 414 and consists of only the digits '1' and '4'.
337 consists of only the digits '3' and '7'.
337 in base 13 = 1cc and consists of only the digits '1' and 'c'.
337 in base 14 = 1a1 and consists of only the digits '1' and 'a'.
337 in base 15 = 177 and consists of only the digits '1' and '7'.
337 in base 16 = 151 and consists of only the digits '1' and '5'.

The number 337 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A000695: Moser-de Bruijn sequence: sums of distinct powers of 4.
A002144: Pythagorean primes: primes of form 4n + 1.
A002313: Primes congruent to 1 or 2 modulo 4; or, primes of form x^2+y^2; or, -1 is a square mod p.
A002476: Primes of form 6m + 1.
A005836: Numbers n whose base 3 representation contains no 2.
A006567: Emirps (primes whose reversal is a different prime).
A029495: Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 2 (most significant digit on right).
A068228: Primes congruent to 1 (mod 12).
A106856: Primes of the form x^2+xy+2y^2, with x and y nonnegative.
A211422: Number of ordered triples (w,x,y) with all terms in {-n,...,0,...,n} and w^2+x*y=0.