117876 has 48 divisors (see below), whose sum is σ = 322560. Its totient is φ = 33120.

The previous prime is 117851. The next prime is 117877. The reversal of 117876 is 678711.

117876 = T₅₉ + T₆₀ + ... + T₉₆.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

Its product of digits (2352) is a multiple of the sum of its prime factors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117877) by changing a digit.

117876 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 15 ways as a sum of consecutive naturals, for example, 2485 + ... + 2531.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2¹¹⁷⁸⁷⁶ 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 117876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

117876 is an abundant number, since it is smaller than the sum of its proper divisors (204684).

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

117876 is a wasteful number, since it uses less digits than its factorization.

117876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 82 counting only the distinct ones).

The product of its digits is 2352, while the sum is 30.

The square root of 117876 is about 343.3307443268. The cubic root of 117876 is about 49.0314943995.

It can be divided in two parts, 11 and 7876, that added together give a palindrome (7887).

The spelling of 117876 in words is "one hundred seventeen thousand, eight hundred seventy-six".