20583 has 6 divisors (see below), whose sum is σ = 29744. Its totient is φ = 13716.

The previous prime is 20563. The next prime is 20593. The reversal of 20583 is 38502.

It is not a de Polignac number, because 20583 - 2⁵ = 20551 is a prime.

It is a Duffinian number.

20583 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1135 + ... + 1152.

2²⁰⁵⁸³ is an apocalyptic number.

20583 is a deficient number, since it is larger than the sum of its proper divisors (9161).

20583 is a wasteful number, since it uses less digits than its factorization.

20583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20583 is about 143.4677664146. The cubic root of 20583 is about 27.4054050111.

The spelling of 20583 in words is "twenty thousand, five hundred eighty-three".