1749 = 3 x 11 x 53. It is the product of three distinct Sophie Germain primes A157346). The sum of the three distinct prime factors is itself a prime number, 67 (A176877).
1748, 1749, and 1750 are three consecutive numbers with three distinct prime factors (A168626).
1749 is a member of a the Fibonacci-like sequence beginning with 14 and 11 (A206605).
1749 divides 234 - 1.
1749 is the number of digits in the fourth Cullen prime.
Source: What's Special About This Number?