113815 has 16 divisors (see below), whose sum is σ = 157248. Its totient is φ = 78336.

The previous prime is 113809. The next prime is 113819. The reversal of 113815 is 518311.

113815 = 80² + 81² + ... + 94².

It is not a de Polignac number, because 113815 - 2⁵ = 113783 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113792 and 113801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113819) 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 15 ways as a sum of consecutive naturals, for example, 1054 + ... + 1156.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2¹¹³⁸¹⁵ is an apocalyptic number.

113815 is a deficient number, since it is larger than the sum of its proper divisors (43433).

113815 is a wasteful number, since it uses less digits than its factorization.

113815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138.

The product of its digits is 120, while the sum is 19.

The square root of 113815 is about 337.3647877298. The cubic root of 113815 is about 48.4618327275.

Subtracting 113815 from its reverse (518311), we obtain a square (404496 = 636²).

The spelling of 113815 in words is "one hundred thirteen thousand, eight hundred fifteen".