113817 has 8 divisors (see below), whose sum is σ = 165600. Its totient is φ = 68960.

The previous prime is 113809. The next prime is 113819. The reversal of 113817 is 718311.

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 113817 - 2³ = 113809 is a prime.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 113793 and 113802.

It is not an unprimeable number, because it can be changed into a prime (113819) 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, 1692 + ... + 1757.

It is an arithmetic number, because the mean of its divisors is an integer number (20700).

2¹¹³⁸¹⁷ is an apocalyptic number.

It is an amenable number.

113817 is a deficient number, since it is larger than the sum of its proper divisors (51783).

113817 is a wasteful number, since it uses less digits than its factorization.

113817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463.

The product of its digits is 168, while the sum is 21.

The square root of 113817 is about 337.3677518673. The cubic root of 113817 is about 48.4621165890.

It can be divided in two parts, 11 and 3817, that added together give a triangular number (3828 = T₈₇).

The spelling of 113817 in words is "one hundred thirteen thousand, eight hundred seventeen".