113259 has 8 divisors (see below), whose sum is σ = 159040. Its totient is φ = 71496.

The previous prime is 113233. The next prime is 113279. The reversal of 113259 is 952311.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 113259 - 2⁵ = 113227 is a prime.

It is a Duffinian number.

113259 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113259.

It is not an unprimeable number, because it can be changed into a prime (113209) 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 7 ways as a sum of consecutive naturals, for example, 937 + ... + 1050.

It is an arithmetic number, because the mean of its divisors is an integer number (19880).

2¹¹³²⁵⁹ is an apocalyptic number.

113259 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

113259 is a deficient number, since it is larger than the sum of its proper divisors (45781).

113259 is a wasteful number, since it uses less digits than its factorization.

113259 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009.

The product of its digits is 270, while the sum is 21.

The square root of 113259 is about 336.5397450525. The cubic root of 113259 is about 48.3827899106.

The spelling of 113259 in words is "one hundred thirteen thousand, two hundred fifty-nine".