84375 has 24 divisors (see below), whose sum is σ = 156240. Its totient is φ = 45000.

The previous prime is 84349. The next prime is 84377. The reversal of 84375 is 57348.

Subtracting from 84375 its sum of digits (27), we obtain a palindrome (84348).

84375 divided by its sum of digits (27) gives a 5-th power (3125 = 5^{5}).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 84375 - 2^{7} = 84247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3360) is a multiple of the sum of its prime divisors (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16873 + ... + 16877.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

84375 is a Friedman number, since it can be written as ((8+7)^4*5)/3, using all its digits and the basic arithmetic operations.

2^{84375} is an apocalyptic number.

84375 is a deficient number, since it is larger than the sum of its proper divisors (71865).

84375 is an frugal number, since it uses more digits than its factorization.

84375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 8 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 84375 is about 290.4737509656. The cubic root of 84375 is about 43.8602660732.

The spelling of 84375 in words is "eighty-four thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 125 135 225 375 625 675 1125 1875 3125 3375 5625 9375 16875 28125 84375

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