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65985 = 355383
BaseRepresentation
bin10000000111000001
310100111220
4100013001
54102420
61225253
7363243
oct200701
9110456
1065985
1145637
1232229
132405a
141a093
1514840
hex101c1

65985 has 16 divisors (see below), whose sum is σ = 108864. Its totient is φ = 34112.

The previous prime is 65983. The next prime is 65993. The reversal of 65985 is 58956.

65985 = T21 + T22 + ... + T73.

It is a cyclic number.

It is not a de Polignac number, because 65985 - 21 = 65983 is a prime.

Its product of digits (10800) is a multiple of the sum of its prime divisors (144).

65985 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65985.

It is not an unprimeable number, because it can be changed into a prime (65981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754 + ... + 836.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

265985 is an apocalyptic number.

It is an amenable number.

65985 is a deficient number, since it is larger than the sum of its proper divisors (42879).

65985 is a wasteful number, since it uses less digits than its factorization.

65985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144.

The product of its digits is 10800, while the sum is 33.

The square root of 65985 is about 256.8754562040. The cubic root of 65985 is about 40.4093384288.

The spelling of 65985 in words is "sixty-five thousand, nine hundred eighty-five".

Divisors: 1 3 5 15 53 83 159 249 265 415 795 1245 4399 13197 21995 65985