3783 has 8 divisors (see below), whose sum is σ = 5488. Its totient is φ = 2304.

The previous prime is 3779. The next prime is 3793. The reversal of 3783 is 3873.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3783 - 2² = 3779 is a prime.

It is a super-2 number, since 2×3783² = 28622178, which contains 22 as substring.

It is the 62-nd Hogben number.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a nialpdrome in base 16.

It is a zygodrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3783.

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

It is a nontrivial repunit in base 61.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10 + ... + 87.

It is an arithmetic number, because the mean of its divisors is an integer number (686).

3783 is a deficient number, since it is larger than the sum of its proper divisors (1705).

3783 is a wasteful number, since it uses less digits than its factorization.

3783 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113.

The product of its digits is 504, while the sum is 21.

The square root of 3783 is about 61.5060972587. The cubic root of 3783 is about 15.5816022429.

It can be divided in two parts, 37 and 83, that added together give a triangular number (120 = T₁₅).

The spelling of 3783 in words is "three thousand, seven hundred eighty-three".