113009 has 4 divisors (see below), whose sum is σ = 121716. Its totient is φ = 104304.

The previous prime is 112997. The next prime is 113011. The reversal of 113009 is 900311.

113009 = 53² + 54² + ... + 78².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 900311 = 53 ⋅16987.

It can be written as a sum of positive squares in 2 ways, for example, as 10609 + 102400 = 103^2 + 320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112984 and 113002.

It is not an unprimeable number, because it can be changed into a prime (113039) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4334 + ... + 4359.

It is an arithmetic number, because the mean of its divisors is an integer number (30429).

2¹¹³⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

113009 is a deficient number, since it is larger than the sum of its proper divisors (8707).

113009 is an equidigital number, since it uses as much as digits as its factorization.

113009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8706.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 113009 is about 336.1681127055. The cubic root of 113009 is about 48.3471647560.

The spelling of 113009 in words is "one hundred thirteen thousand, nine".