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8085 = 357211
BaseRepresentation
bin1111110010101
3102002110
41332111
5224320
6101233
732400
oct17625
912073
108085
116090
124819
1338ac
142d37
1525e0
hex1f95

8085 has 24 divisors (see below), whose sum is σ = 16416. Its totient is φ = 3360.

The previous prime is 8081. The next prime is 8087. The reversal of 8085 is 5808.

It is not a de Polignac number, because 8085 - 22 = 8081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

8085 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8081) 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, 730 + ... + 740.

It is an arithmetic number, because the mean of its divisors is an integer number (684).

28085 is an apocalyptic number.

It is an amenable number.

8085 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8208).

8085 is a wasteful number, since it uses less digits than its factorization.

8085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 8085 is about 89.9166280507. The cubic root of 8085 is about 20.0705839357.

The spelling of 8085 in words is "eight thousand, eighty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 385 539 735 1155 1617 2695 8085