23583 has 8 divisors (see below), whose sum is σ = 35968. Its totient is φ = 13464.

The previous prime is 23581. The next prime is 23593. The reversal of 23583 is 38532.

23583 is nontrivially palindromic in base 6.

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

It is not a de Polignac number, because 23583 - 2¹ = 23581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 1123 = 23583 / (2 + 3 + 5 + 8 + 3).

It is a d-powerful number, because it can be written as 2¹⁰ + 3⁷ + 5⁴ + 8² + 3⁹ .

It is a Duffinian number.

It is a plaindrome in base 11.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23581) 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, 541 + ... + 582.

It is an arithmetic number, because the mean of its divisors is an integer number (4496).

2²³⁵⁸³ is an apocalyptic number.

23583 is a deficient number, since it is larger than the sum of its proper divisors (12385).

23583 is a wasteful number, since it uses less digits than its factorization.

23583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133.

The product of its digits is 720, while the sum is 21.

The square root of 23583 is about 153.5675747025. The cubic root of 23583 is about 28.6769538225.

It can be divided in two parts, 23 and 583, that added together give a palindrome (606).

The spelling of 23583 in words is "twenty-three thousand, five hundred eighty-three".