84165 has 16 divisors (see below), whose sum is σ = 139776. Its totient is φ = 43200.

The previous prime is 84163. The next prime is 84179. The reversal of 84165 is 56148.

It is not a de Polignac number, because 84165 - 2¹ = 84163 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84163) 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, 375 + ... + 555.

It is an arithmetic number, because the mean of its divisors is an integer number (8736).

2⁸⁴¹⁶⁵ is an apocalyptic number.

It is an amenable number.

84165 is a deficient number, since it is larger than the sum of its proper divisors (55611).

84165 is a wasteful number, since it uses less digits than its factorization.

84165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220.

The product of its digits is 960, while the sum is 24.

The square root of 84165 is about 290.1120473197. The cubic root of 84165 is about 43.8238480667.

The spelling of 84165 in words is "eighty-four thousand, one hundred sixty-five".