117766 has 16 divisors (see below), whose sum is σ = 198288. Its totient is φ = 52000.

The previous prime is 117763. The next prime is 117773. The reversal of 117766 is 667711.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117763) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1116 + ... + 1216.

It is an arithmetic number, because the mean of its divisors is an integer number (12393).

2¹¹⁷⁷⁶⁶ is an apocalyptic number.

117766 is a deficient number, since it is larger than the sum of its proper divisors (80522).

117766 is a wasteful number, since it uses less digits than its factorization.

117766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167.

The product of its digits is 1764, while the sum is 28.

The square root of 117766 is about 343.1705115537. The cubic root of 117766 is about 49.0162378504.

Subtracting 117766 from its reverse (667711), we obtain a palindrome (549945).

It can be divided in two parts, 11 and 7766, that added together give a palindrome (7777).

The spelling of 117766 in words is "one hundred seventeen thousand, seven hundred sixty-six".