3791 has 4 divisors (see below), whose sum is σ = 4032. Its totient is φ = 3552.

The previous prime is 3779. The next prime is 3793. The reversal of 3791 is 1973.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 3791 - 2⁶ = 3727 is a prime.

It is a Duffinian number.

It is a plaindrome 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 3791.

It is not an unprimeable number, because it can be changed into a prime (3793) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95 + ... + 128.

It is an arithmetic number, because the mean of its divisors is an integer number (1008).

3791 is a deficient number, since it is larger than the sum of its proper divisors (241).

3791 is a wasteful number, since it uses less digits than its factorization.

3791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240.

The product of its digits is 189, while the sum is 20.

The square root of 3791 is about 61.5710971154. The cubic root of 3791 is about 15.5925781044.

It can be divided in two parts, 37 and 91, that added together give a 7-th power (128 = 2⁷).

The spelling of 3791 in words is "three thousand, seven hundred ninety-one".