117793 has 12 divisors (see below), whose sum is σ = 138348. Its totient is φ = 99840.

The previous prime is 117787. The next prime is 117797. The reversal of 117793 is 397711.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 29584 + 88209 = 172^2 + 297^2 .

It is not a de Polignac number, because 117793 - 2⁹ = 117281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117797) 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 11 ways as a sum of consecutive naturals, for example, 2853 + ... + 2893.

It is an arithmetic number, because the mean of its divisors is an integer number (11529).

2¹¹⁷⁷⁹³ is an apocalyptic number.

117793 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

117793 is a deficient number, since it is larger than the sum of its proper divisors (20555).

117793 is a wasteful number, since it uses less digits than its factorization.

117793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 71 counting only the distinct ones).

The product of its digits is 1323, while the sum is 28.

The square root of 117793 is about 343.2098483435. The cubic root of 117793 is about 49.0199835192.

The spelling of 117793 in words is "one hundred seventeen thousand, seven hundred ninety-three".