117952 has 28 divisors (see below), whose sum is σ = 248920. Its totient is φ = 55296.

The previous prime is 117937. The next prime is 117959. The reversal of 117952 is 259711.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (117959) by changing a digit.

117952 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 3 ways as a sum of consecutive naturals, for example, 1168 + ... + 1264.

It is an arithmetic number, because the mean of its divisors is an integer number (8890).

2¹¹⁷⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124460).

117952 is an abundant number, since it is smaller than the sum of its proper divisors (130968).

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

117952 is an equidigital number, since it uses as much as digits as its factorization.

117952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 118 counting only the distinct ones).

The product of its digits is 630, while the sum is 25.

The square root of 117952 is about 343.4414069387. The cubic root of 117952 is about 49.0420297446.

The spelling of 117952 in words is "one hundred seventeen thousand, nine hundred fifty-two".