113906 has 12 divisors (see below), whose sum is σ = 185562. Its totient is φ = 52416.

The previous prime is 113903. The next prime is 113909. The reversal of 113906 is 609311.

It is an interprime number because it is at equal distance from previous prime (113903) and next prime (113909).

It can be written as a sum of positive squares in 3 ways, for example, as 43681 + 70225 = 209^2 + 265^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 170 + ... + 506.

2¹¹³⁹⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 337×338.

113906 is a deficient number, since it is larger than the sum of its proper divisors (71656).

113906 is a wasteful number, since it uses less digits than its factorization.

113906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 113906 is about 337.4996296294. The cubic root of 113906 is about 48.4747450617.

It can be divided in two parts, 113 and 906, that multiplied together give a triangular number (102378 = T₄₅₂).

The spelling of 113906 in words is "one hundred thirteen thousand, nine hundred six".