117135 has 24 divisors (see below), whose sum is σ = 215280. Its totient is φ = 58752.

The previous prime is 117133. The next prime is 117163. The reversal of 117135 is 531711.

It is a happy number.

It is not a de Polignac number, because 117135 - 2¹ = 117133 is a prime.

It is a super-3 number, since 3×117135³ = 4821490333306125, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (8970).

2¹¹⁷¹³⁵ is an apocalyptic number.

117135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

117135 is a deficient number, since it is larger than the sum of its proper divisors (98145).

117135 is a wasteful number, since it uses less digits than its factorization.

117135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 164 counting only the distinct ones).

The product of its digits is 105, while the sum is 18.

The square root of 117135 is about 342.2499086925. The cubic root of 117135 is about 48.9285366701.

Adding to 117135 its reverse (531711), we get a palindrome (648846).

It can be divided in two parts, 117 and 135, that added together give a palindrome (252).

The spelling of 117135 in words is "one hundred seventeen thousand, one hundred thirty-five".