85293 has 18 divisors (see below), whose sum is σ = 137774. Its totient is φ = 52488.

The previous prime is 85259. The next prime is 85297. The reversal of 85293 is 39258.

It can be divided in two parts, 85 and 293, that added together give a triangular number (378 = T_{27}).

It can be written as a sum of positive squares in only one way, i.e., 59049 + 26244 = 243^2 + 162^2 .

It is not a de Polignac number, because 85293 - 2^{6} = 85229 is a prime.

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

It is a d-powerful number, because it can be written as **8**^{4} + **5**^{6} + **2**^{16} + **9** + **3**^{3} .

Its product of digits (2160) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 85293.

It is not an unprimeable number, because it can be changed into a prime (85297) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6555 + ... + 6567.

85293 is a Friedman number, since it can be written as (9*2-5)*3^8, using all its digits and the basic arithmetic operations.

2^{85293} is an apocalyptic number.

It is an amenable number.

85293 is a deficient number, since it is larger than the sum of its proper divisors (52481).

85293 is an frugal number, since it uses more digits than its factorization.

85293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 16 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 85293 is about 292.0496533126. The cubic root of 85293 is about 44.0187592186.

The spelling of 85293 in words is "eighty-five thousand, two hundred ninety-three".

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