82503 has 12 divisors (see below), whose sum is σ = 121680. Its totient is φ = 53856.

The previous prime is 82499. The next prime is 82507. The reversal of 82503 is 30528.

82503 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (82499) and next prime (82507).

It is not a de Polignac number, because 82503 - 2² = 82499 is a prime.

82503 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82507) 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, 750 + ... + 852.

It is an arithmetic number, because the mean of its divisors is an integer number (10140).

2⁸²⁵⁰³ is an apocalyptic number.

82503 is a deficient number, since it is larger than the sum of its proper divisors (39177).

82503 is a wasteful number, since it uses less digits than its factorization.

82503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 82503 is about 287.2333546091. The cubic root of 82503 is about 43.5334661215.

It can be divided in two parts, 82 and 503, that added together give a palindrome (585).

The spelling of 82503 in words is "eighty-two thousand, five hundred three".