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5985 = 325719
BaseRepresentation
bin1011101100001
322012200
41131201
5142420
643413
723310
oct13541
98180
105985
114551
123569
132955
142277
151b90
hex1761

5985 has 24 divisors (see below), whose sum is σ = 12480. Its totient is φ = 2592.

The previous prime is 5981. The next prime is 5987. The reversal of 5985 is 5895.

It can be divided in two parts, 59 and 85, that added together give a square (144 = 122).

5985 = T15 + T16 + ... + T33.

5985 is a nontrivial binomial coefficient, being equal to C(21, 4).

It is not a de Polignac number, because 5985 - 22 = 5981 is a prime.

It is a Curzon number.

It is a plaindrome in base 12 and base 14.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (5981) 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 23 ways as a sum of consecutive naturals, for example, 306 + ... + 324.

It is an arithmetic number, because the mean of its divisors is an integer number (520).

25985 is an apocalyptic number.

5985 is the 45-th octagonal number.

It is an amenable number.

5985 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 (6240).

5985 is a wasteful number, since it uses less digits than its factorization.

5985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 34 counting only the distinct ones).

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

The square root of 5985 is about 77.3627817494. The cubic root of 5985 is about 18.1560506203.

The spelling of 5985 in words is "five thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985