117705 has 32 divisors (see below), whose sum is σ = 230400. Its totient is φ = 50112.

The previous prime is 117703. The next prime is 117709. The reversal of 117705 is 507711.

It is not a de Polignac number, because 117705 - 2¹ = 117703 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a d-powerful number, because it can be written as 1 + 1 + 7² + 7⁶ + 0 + 5 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1966 + ... + 2024.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2¹¹⁷⁷⁰⁵ is an apocalyptic number.

117705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

117705 is a deficient number, since it is larger than the sum of its proper divisors (112695).

117705 is a wasteful number, since it uses less digits than its factorization.

117705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93.

The product of its (nonzero) digits is 245, while the sum is 21.

The square root of 117705 is about 343.0816229412. The cubic root of 117705 is about 49.0077733052.

The spelling of 117705 in words is "one hundred seventeen thousand, seven hundred five".