84189 has 16 divisors (see below), whose sum is σ = 135680. Its totient is φ = 45360.

The previous prime is 84181. The next prime is 84191. The reversal of 84189 is 98148.

It is a happy number.

It is not a de Polignac number, because 84189 - 2³ = 84181 is a prime.

It is a Duffinian number.

84189 is a modest number, since divided by 189 gives 84 as remainder.

84189 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84181) 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, 294 + ... + 504.

It is an arithmetic number, because the mean of its divisors is an integer number (8480).

2⁸⁴¹⁸⁹ is an apocalyptic number.

It is an amenable number.

84189 is a deficient number, since it is larger than the sum of its proper divisors (51491).

84189 is a wasteful number, since it uses less digits than its factorization.

84189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240.

The product of its digits is 2304, while the sum is 30.

The square root of 84189 is about 290.1534077001. The cubic root of 84189 is about 43.8280131884.

It can be divided in two parts, 84 and 189, that multiplied together give a square (15876 = 126²).

The spelling of 84189 in words is "eighty-four thousand, one hundred eighty-nine".