793 has 4 divisors (see below), whose sum is σ = 868. Its totient is φ = 720.

The previous prime is 787. The next prime is 797. The reversal of 793 is 397.

It is a happy number.

793 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 12-th star number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 64 + 729 = 8^2 + 27^2 .

It is a cyclic number.

It is not a de Polignac number, because 793 - 2^{5} = 761 is a prime.

It is a Duffinian number.

It is a plaindrome in base 5 and base 15.

It is a nialpdrome in base 11.

It is a zygodrome in base 5.

It is a self number, because there is not a number *n* which added to its sum of digits gives 793.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18 + ... + 43.

It is an arithmetic number, because the mean of its divisors is an integer number (217).

It is an amenable number.

793 is a deficient number, since it is larger than the sum of its proper divisors (75).

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

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

The sum of its prime factors is 74.

The product of its digits is 189, while the sum is 19.

The square root of 793 is about 28.1602556807. The cubic root of 793 is about 9.2560223747.

Multiplying 793 by its reverse (397), we get a triangular number (314821 = T_{793}).

It can be divided in two parts, 7 and 93, that added together give a square (100 = 10^{2}).

The spelling of 793 in words is "seven hundred ninety-three", and thus it is an aban number and an oban number.

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