58564 has 15 divisors (see below), whose sum is σ = 112735. Its totient is φ = 26620.

The previous prime is 58549. The next prime is 58567. The reversal of 58564 is 46585.

58564 = T_{241} + T_{242}.

The square root of 58564 is 242.

It is a perfect power (a square), and thus also a powerful number.

It is an ABA number since it can be written as A⋅B^{A}, here for A=4, B=11.

It is a Duffinian number.

Its product of digits (4800) is a multiple of the sum of its prime factors (48).

It is a nialpdrome in base 11.

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

58564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 4 ways as a sum of consecutive naturals, for example, 5319 + ... + 5329.

2^{58564} is an apocalyptic number.

58564 is the 242-nd square number.

It is an amenable number.

58564 is a deficient number, since it is larger than the sum of its proper divisors (54171).

58564 is an equidigital number, since it uses as much as digits as its factorization.

58564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 13 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The cubic root of 58564 is about 38.8338316886.

The spelling of 58564 in words is "fifty-eight thousand, five hundred sixty-four".

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