117733 has 12 divisors (see below), whose sum is σ = 148960. Its totient is φ = 91080.

The previous prime is 117731. The next prime is 117751. The reversal of 117733 is 337711.

It is not a de Polignac number, because 117733 - 2¹ = 117731 is a prime.

It is a super-2 number, since 2×117733² = 27722118578, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 778 + ... + 916.

2¹¹⁷⁷³³ is an apocalyptic number.

It is an amenable number.

117733 is a deficient number, since it is larger than the sum of its proper divisors (31227).

117733 is a wasteful number, since it uses less digits than its factorization.

117733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its digits is 441, while the sum is 22.

The square root of 117733 is about 343.1224271306. The cubic root of 117733 is about 49.0116590332.

Subtracting from 117733 its sum of digits (22), we obtain a palindrome (117711).

It can be divided in two parts, 11 and 7733, that added together give a square (7744 = 88²).

The spelling of 117733 in words is "one hundred seventeen thousand, seven hundred thirty-three".