27434 is a member of OEIS A000330: square pyramidal numbers: a(n) = 0^2 + 1^2 + 2^2 + ... + n^2 = n*(n+1)*(2*n+1)/6, here n=43. See blog post Pyramidal Numbers.

The sequence runs:

[0, 1, 5, 14, 30, 55, 91, 140, 204, 285, 385, 506, 650, 819, 1015, 1240, 1496, 1785, 2109, 2470, 2870, 3311, 3795, 4324, 4900, 5525, 6201, 6930, 7714, 8555, 9455, 10416, 11440, 12529, 13685, 14910, 16206, 17575, 19019, 20540, 22140, 23821, 25585, 27434, 29370, 31395, 33511, 35720, 38024, 40425, 42925]

27434 is a member of OEIS A318896: numbers k such that k and k+1 are the product of exactly four distinct primes.

The sequence runs:

7314, 8294, 8645, 11570, 13629, 13845, 15105, 15554, 16554, 17390, 17654, 18290, 19005, 20405, 20769, 21489, 22010, 22154, 23001, 23114, 23529, 24530, 24765, 24870, 24969, 25346, 26690, 26894, 26961, 27434, 27965, 28105, 29145, 29210, 29414, 29469, 29666, 30414 (

27434 is a happy number.

27434 is an interprime number because it is at equal distance from previous prime (27431) and next prime (27437).

27434 is a Curzon number.

27434 can be rendered as a digit equation as follows:

-2 + 7 - 4 = -3 + 4

27434 stabilises after about 935 generations of Conway's Game of Life to three gliders and an assortment of oscillators and still life shapes.