3583

3583 is a prime number.

3581 and 3583 form a twin prime pair.

3583 is the smallest number requiring an addition chain of length 16 (A003064).

3583 is the sum of 11 distinct powers of 2 (A038462): 3583 = 2¹¹ + 2¹⁰ + 2⁸ + 2⁷ + 2⁶ + 2⁵ + 2⁴ + 2³ + 2² + 2¹ + 2⁰.

3583 is the smallest prime with exactly nine consecutive ones in the longest run of ones in its binary expansion (A090593).

3583 divides 95⁹ - 1.

The Commodore VIC-20 (an early 8-bit computer from 1980) had "3853 bytes free" once started up under Commodore BASIC V2.

Source: Prime Curios!