113406 has 16 divisors (see below), whose sum is σ = 232848. Its totient is φ = 36800.

The previous prime is 113383. The next prime is 113417. The reversal of 113406 is 604311.

It is a Curzon number.

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, 16 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (14553).

2¹¹³⁴⁰⁶ is an apocalyptic number.

113406 is an abundant number, since it is smaller than the sum of its proper divisors (119442).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113406 is a wasteful number, since it uses less digits than its factorization.

113406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 113406 is about 336.7580733999. The cubic root of 113406 is about 48.4037130316.

Multiplying 113406 by its sum of digits (15), we get a triangular number (1701090 = T₁₈₄₄).

Adding to 113406 its reverse (604311), we get a palindrome (717717).

The spelling of 113406 in words is "one hundred thirteen thousand, four hundred six".