Search a number
-
+
85905 = 3252383
BaseRepresentation
bin10100111110010001
311100211200
4110332101
510222110
61501413
7505311
oct247621
9140750
1085905
11595a6
1241869
1330141
1423441
151a6c0
hex14f91

85905 has 24 divisors (see below), whose sum is σ = 157248. Its totient is φ = 43296.

The previous prime is 85903. The next prime is 85909. The reversal of 85905 is 50958.

It can be divided in two parts, 85 and 905, that added together give a triangular number (990 = T44).

85905 is a nontrivial binomial coefficient, being equal to C(415, 2).

It is not a de Polignac number, because 85905 - 21 = 85903 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85903) 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, 994 + ... + 1076.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

285905 is an apocalyptic number.

85905 is the 414-th triangular number.

It is an amenable number.

85905 is a deficient number, since it is larger than the sum of its proper divisors (71343).

85905 is a wasteful number, since it uses less digits than its factorization.

85905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 85905 is about 293.0955475609. The cubic root of 85905 is about 44.1237905170.

The spelling of 85905 in words is "eighty-five thousand, nine hundred five".

Divisors: 1 3 5 9 15 23 45 69 83 115 207 249 345 415 747 1035 1245 1909 3735 5727 9545 17181 28635 85905