113405 has 8 divisors (see below), whose sum is σ = 139992. Its totient is φ = 88128.

The previous prime is 113383. The next prime is 113417. The reversal of 113405 is 504311.

Added to its reverse (504311) it gives a triangular number (617716 = T₁₁₁₁).

It can be written as a sum of positive squares in 4 ways, for example, as 3844 + 109561 = 62^2 + 331^2 .

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 113405 - 2⁶ = 113341 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 113405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122 + ... + 491.

It is an arithmetic number, because the mean of its divisors is an integer number (17499).

2¹¹³⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

113405 is a deficient number, since it is larger than the sum of its proper divisors (26587).

113405 is an equidigital number, since it uses as much as digits as its factorization.

113405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 113405 is about 336.7565886512. The cubic root of 113405 is about 48.4035707586.

Adding to 113405 its reverse (504311), we get a palindrome (617716).

The spelling of 113405 in words is "one hundred thirteen thousand, four hundred five".