113205 has 8 divisors (see below), whose sum is σ = 181152. Its totient is φ = 60368.

The previous prime is 113189. The next prime is 113209. The reversal of 113205 is 502311.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 113205 - 2⁴ = 113189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3759 + ... + 3788.

It is an arithmetic number, because the mean of its divisors is an integer number (22644).

2¹¹³²⁰⁵ is an apocalyptic number.

113205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113205 is a deficient number, since it is larger than the sum of its proper divisors (67947).

113205 is an equidigital number, since it uses as much as digits as its factorization.

113205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7555.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 113205 is about 336.4595072219. The cubic root of 113205 is about 48.3750993194.

Adding to 113205 its reverse (502311), we get a palindrome (615516).

It can be divided in two parts, 11320 and 5, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 113205 in words is "one hundred thirteen thousand, two hundred five".