117288 has 40 divisors (see below), whose sum is σ = 330330. Its totient is φ = 38880.

The previous prime is 117281. The next prime is 117307. The reversal of 117288 is 882711.

It can be written as a sum of positive squares in only one way, i.e., 116964 + 324 = 342^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (117281) by changing a digit.

117288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 9 ways as a sum of consecutive naturals, for example, 558 + ... + 738.

2¹¹⁷²⁸⁸ is an apocalyptic number.

117288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165165).

117288 is an abundant number, since it is smaller than the sum of its proper divisors (213042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117288 is a wasteful number, since it uses less digits than its factorization.

117288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its digits is 896, while the sum is 27.

The square root of 117288 is about 342.4733566279. The cubic root of 117288 is about 48.9498306445.

Adding to 117288 its reverse (882711), we get a palindrome (999999).

The spelling of 117288 in words is "one hundred seventeen thousand, two hundred eighty-eight".