58563 has 12 divisors (see below), whose sum is σ = 88088. Its totient is φ = 38880.

The previous prime is 58549. The next prime is 58567. The reversal of 58563 is 36585.

58563 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 242²-1.

It is not a de Polignac number, because 58563 - 2¹⁴ = 42179 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a d-powerful number, because it can be written as 5⁴ + 8⁴ + 5⁴ + 6⁶ + 3⁸ .

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a nialpdrome in base 3 and base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123 + ... + 363.

2⁵⁸⁵⁶³ is an apocalyptic number.

58563 is a deficient number, since it is larger than the sum of its proper divisors (29525).

58563 is an equidigital number, since it uses as much as digits as its factorization.

58563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 58563 is about 241.9979338755. The cubic root of 58563 is about 38.8336106537.

The spelling of 58563 in words is "fifty-eight thousand, five hundred sixty-three".