117306 has 48 divisors (see below), whose sum is σ = 312000. Its totient is φ = 31752.

The previous prime is 117281. The next prime is 117307. The reversal of 117306 is 603711.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (117307) by changing a digit.

117306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6165 + ... + 6183.

It is an arithmetic number, because the mean of its divisors is an integer number (6500).

2¹¹⁷³⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 342×343.

It is a practical number, because each smaller number is the sum of distinct divisors of 117306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156000).

117306 is an abundant number, since it is smaller than the sum of its proper divisors (194694).

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

117306 is a wasteful number, since it uses less digits than its factorization.

117306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 117306 is about 342.4996350363. The cubic root of 117306 is about 48.9523346003.

The spelling of 117306 in words is "one hundred seventeen thousand, three hundred six".