82203 has 16 divisors (see below), whose sum is σ = 124416. Its totient is φ = 47840.

The previous prime is 82193. The next prime is 82207. The reversal of 82203 is 30228.

It is a cyclic number.

It is not a de Polignac number, because 82203 - 2⁵ = 82171 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82207) 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 15 ways as a sum of consecutive naturals, for example, 1525 + ... + 1577.

It is an arithmetic number, because the mean of its divisors is an integer number (7776).

2⁸²²⁰³ is an apocalyptic number.

82203 is a deficient number, since it is larger than the sum of its proper divisors (42213).

82203 is a wasteful number, since it uses less digits than its factorization.

82203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 82203 is about 286.7106555397. The cubic root of 82203 is about 43.4806361166.

It can be divided in two parts, 8 and 2203, that added together give a triangular number (2211 = T₆₆).

The spelling of 82203 in words is "eighty-two thousand, two hundred three".