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6385 = 51277
BaseRepresentation
bin1100011110001
322202111
41203301
5201020
645321
724421
oct14361
98674
106385
114885
123841
132ba2
142481
151d5a
hex18f1

6385 has 4 divisors (see below), whose sum is σ = 7668. Its totient is φ = 5104.

The previous prime is 6379. The next prime is 6389. The reversal of 6385 is 5836.

6385 = 562 + 572.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 3249 + 3136 = 57^2 + 56^2 .

It is a cyclic number.

It is not a de Polignac number, because 6385 - 25 = 6353 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

6385 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (6389) 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 3 ways as a sum of consecutive naturals, for example, 634 + ... + 643.

It is an arithmetic number, because the mean of its divisors is an integer number (1917).

26385 is an apocalyptic number.

6385 is the 57-th centered square number.

It is an amenable number.

6385 is a deficient number, since it is larger than the sum of its proper divisors (1283).

6385 is a wasteful number, since it uses less digits than its factorization.

6385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282.

The product of its digits is 720, while the sum is 22.

The square root of 6385 is about 79.9061950039. The cubic root of 6385 is about 18.5518390226.

Subtracting from 6385 its product of digits (720), we obtain a palindrome (5665).

Adding to 6385 its reverse (5836), we get a palindrome (12221).

The spelling of 6385 in words is "six thousand, three hundred eighty-five".

Divisors: 1 5 1277 6385