82189 has 2 divisors, whose sum is σ = 82190. Its totient is φ = 82188.

The previous prime is 82183. The next prime is 82193. The reversal of 82189 is 98128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66564 + 15625 = 258^2 + 125^2 .

It is a cyclic number.

It is not a de Polignac number, because 82189 - 2⁹ = 81677 is a prime.

It is a Chen prime.

82189 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41094 + 41095.

It is an arithmetic number, because the mean of its divisors is an integer number (41095).

2⁸²¹⁸⁹ is an apocalyptic number.

It is an amenable number.

82189 is a deficient number, since it is larger than the sum of its proper divisors (1).

82189 is an equidigital number, since it uses as much as digits as its factorization.

82189 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1152, while the sum is 28.

The square root of 82189 is about 286.6862396419. The cubic root of 82189 is about 43.4781675795.

It can be divided in two parts, 8 and 2189, that added together give a cube (2197 = 13³).

The spelling of 82189 in words is "eighty-two thousand, one hundred eighty-nine".