113505 has 32 divisors (see below), whose sum is σ = 221184. Its totient is φ = 48576.

The previous prime is 113501. The next prime is 113513. The reversal of 113505 is 505311.

113505 = 102² + 103² + ... + 111².

It is not a de Polignac number, because 113505 - 2² = 113501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113501) 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, 2392 + ... + 2438.

It is an arithmetic number, because the mean of its divisors is an integer number (6912).

2¹¹³⁵⁰⁵ is an apocalyptic number.

113505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113505 is a deficient number, since it is larger than the sum of its proper divisors (107679).

113505 is a wasteful number, since it uses less digits than its factorization.

113505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 113505 is about 336.9050311290. The cubic root of 113505 is about 48.4177939264.

Adding to 113505 its reverse (505311), we get a palindrome (618816).

The spelling of 113505 in words is "one hundred thirteen thousand, five hundred five".