117852 has 48 divisors (see below), whose sum is σ = 333312. Its totient is φ = 31680.

The previous prime is 117851. The next prime is 117877. The reversal of 117852 is 258711.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1902 + ... + 1962.

It is an arithmetic number, because the mean of its divisors is an integer number (6944).

2¹¹⁷⁸⁵² is an apocalyptic number.

117852 is a gapful number since it is divisible by the number (12) 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 117852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166656).

117852 is an abundant number, since it is smaller than the sum of its proper divisors (215460).

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

117852 is a wasteful number, since it uses less digits than its factorization.

117852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 96 counting only the distinct ones).

The product of its digits is 560, while the sum is 24.

The square root of 117852 is about 343.2957908277. The cubic root of 117852 is about 49.0281665077.

It can be divided in two parts, 117 and 852, that added together give a palindrome (969).

The spelling of 117852 in words is "one hundred seventeen thousand, eight hundred fifty-two".