5356 = 2 x 2 x 13 x 103.
5356 is the 103rd triangular number. It is also a centered nonagonal number (A060544). It is a triangular number whose digit reversal is a semiprime (A115742). It is also a triangular number for which the sum of digits is a prime number (A117512).
5356 is the number of inequivalent ways to place a pair of checkers on a 17 x 17 board (A014409).
5356 is the number of complete squares that fit inside a circle with radius 42, drawn on squared paper (A119677).
5356 divides 4712 - 1.
5356 is 40444 in base 6 (A043388). It is 12354 in base 8.