82563 has 16 divisors (see below), whose sum is σ = 124320. Its totient is φ = 48384.

The previous prime is 82561. The next prime is 82567. The reversal of 82563 is 36528.

It is not a de Polignac number, because 82563 - 2¹ = 82561 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (82561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1095 + ... + 1167.

It is an arithmetic number, because the mean of its divisors is an integer number (7770).

2⁸²⁵⁶³ is an apocalyptic number.

82563 is a deficient number, since it is larger than the sum of its proper divisors (41757).

82563 is a wasteful number, since it uses less digits than its factorization.

82563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118.

The product of its digits is 1440, while the sum is 24.

The square root of 82563 is about 287.3377803213. The cubic root of 82563 is about 43.5440167480.

It can be divided in two parts, 825 and 63, that added together give a palindrome (888).

The spelling of 82563 in words is "eighty-two thousand, five hundred sixty-three".