113583 has 4 divisors (see below), whose sum is σ = 151448. Its totient is φ = 75720.

The previous prime is 113567. The next prime is 113591. The reversal of 113583 is 385311.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 385311 = 3 ⋅128437.

It is not a de Polignac number, because 113583 - 2⁴ = 113567 is a prime.

It is a D-number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18928 + ... + 18933.

It is an arithmetic number, because the mean of its divisors is an integer number (37862).

2¹¹³⁵⁸³ is an apocalyptic number.

113583 is a deficient number, since it is larger than the sum of its proper divisors (37865).

113583 is an equidigital number, since it uses as much as digits as its factorization.

113583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37864.

The product of its digits is 360, while the sum is 21.

The square root of 113583 is about 337.0207708733. The cubic root of 113583 is about 48.4288821991.

Adding to 113583 its reverse (385311), we get a palindrome (498894).

It can be divided in two parts, 113 and 583, that added together give a palindrome (696).

The spelling of 113583 in words is "one hundred thirteen thousand, five hundred eighty-three".