116505 has 16 divisors (see below), whose sum is σ = 207360. Its totient is φ = 62064.

The previous prime is 116491. The next prime is 116507. The reversal of 116505 is 505611.

116505 is a `hidden beast` number, since 11 + 650 + 5 = 666.

It is not a de Polignac number, because 116505 - 2¹⁵ = 83737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (116507) 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, 297 + ... + 566.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2¹¹⁶⁵⁰⁵ is an apocalyptic number.

116505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116505 is a deficient number, since it is larger than the sum of its proper divisors (90855).

116505 is an equidigital number, since it uses as much as digits as its factorization.

116505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 116505 is about 341.3282877231. The cubic root of 116505 is about 48.8406596993.

The spelling of 116505 in words is "one hundred sixteen thousand, five hundred five".