3793 has 2 divisors, whose sum is σ = 3794. Its totient is φ = 3792.

The previous prime is 3779. The next prime is 3797. The reversal of 3793 is 3973.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2704 + 1089 = 52^2 + 33^2 .

3793 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 3793 - 2⁵ = 3761 is a prime.

3793 is a lucky number.

It is a plaindrome in base 15.

It is a nialpdrome in base 8 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3793.

It is not a weakly prime, because it can be changed into another prime (3797) 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 as a sum of consecutive naturals, namely, 1896 + 1897.

It is an arithmetic number, because the mean of its divisors is an integer number (1897).

It is an amenable number.

3793 is a deficient number, since it is larger than the sum of its proper divisors (1).

3793 is an equidigital number, since it uses as much as digits as its factorization.

3793 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 567, while the sum is 22.

The square root of 3793 is about 61.5873363607. The cubic root of 3793 is about 15.5953196566.

The spelling of 3793 in words is "three thousand, seven hundred ninety-three".