3753 has 8 divisors (see below), whose sum is σ = 5600. Its totient is φ = 2484.

The previous prime is 3739. The next prime is 3761. The reversal of 3753 is 3573.

It is not a de Polignac number, because 3753 - 2¹⁰ = 2729 is a prime.

It is a Duffinian number.

It is a Curzon number.

3753 is a lucky number.

It is a nialpdrome in base 4 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3753.

It is not an unprimeable number, because it can be changed into a prime (3733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43 + ... + 96.

It is an arithmetic number, because the mean of its divisors is an integer number (700).

It is an amenable number.

3753 is a deficient number, since it is larger than the sum of its proper divisors (1847).

3753 is a wasteful number, since it uses less digits than its factorization.

3753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its digits is 315, while the sum is 18.

The square root of 3753 is about 61.2617335700. The cubic root of 3753 is about 15.5403044021.

It can be divided in two parts, 375 and 3, that added together give a triangular number (378 = T₂₇).

The spelling of 3753 in words is "three thousand, seven hundred fifty-three".