4563 has 12 divisors (see below), whose sum is σ = 7320. Its totient is φ = 2808.

The previous prime is 4561. The next prime is 4567. The reversal of 4563 is 3654.

Subtracting from 4563 its reverse (3654), we obtain a palindrome (909).

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 4563 - 2^{1} = 4561 is a prime.

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

It is a plaindrome in base 11.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (4561) 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 11 ways as a sum of consecutive naturals, for example, 345 + ... + 357.

It is an arithmetic number, because the mean of its divisors is an integer number (610).

2^{4563} is an apocalyptic number.

4563 is a deficient number, since it is larger than the sum of its proper divisors (2757).

4563 is a wasteful number, since it uses less digits than its factorization.

4563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 16 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 4563 is about 67.5499814952. The cubic root of 4563 is about 16.5863244410.

The spelling of 4563 in words is "four thousand, five hundred sixty-three".

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