113809 has 2 divisors, whose sum is σ = 113810. Its totient is φ = 113808.

The previous prime is 113797. The next prime is 113819. The reversal of 113809 is 908311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88209 + 25600 = 297^2 + 160^2 .

It is a cyclic number.

It is not a de Polignac number, because 113809 - 2⁵ = 113777 is a prime.

113809 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 113809.

It is not a weakly prime, because it can be changed into another prime (113819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56904 + 56905.

It is an arithmetic number, because the mean of its divisors is an integer number (56905).

2¹¹³⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

113809 is a deficient number, since it is larger than the sum of its proper divisors (1).

113809 is an equidigital number, since it uses as much as digits as its factorization.

113809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 113809 is about 337.3558951612. The cubic root of 113809 is about 48.4609811230.

The spelling of 113809 in words is "one hundred thirteen thousand, eight hundred nine".