76563 has 12 divisors (see below), whose sum is σ = 113568. Its totient is φ = 49680.

The previous prime is 76561. The next prime is 76579. The reversal of 76563 is 36567.

76563 is a `hidden beast` number, since 7 + 656 + 3 = 666.

76563 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 76563 - 2¹ = 76561 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

76563 is an undulating number in base 12.

It is not an unprimeable number, because it can be changed into a prime (76561) 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, 333 + ... + 513.

It is an arithmetic number, because the mean of its divisors is an integer number (9464).

2⁷⁶⁵⁶³ is an apocalyptic number.

76563 is a deficient number, since it is larger than the sum of its proper divisors (37005).

76563 is a wasteful number, since it uses less digits than its factorization.

76563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 231 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 76563 is about 276.7001987712. The cubic root of 76563 is about 42.4625737412.

It can be divided in two parts, 765 and 63, that added together give a palindrome (828).

The spelling of 76563 in words is "seventy-six thousand, five hundred sixty-three".