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285327 = 3272647
BaseRepresentation
bin1000101101010001111
3112111101200
41011222033
533112302
610040543
72265600
oct1055217
9474350
10285327
11185409
12119153
139cb43
1475da7
155981c
hex45a8f

285327 has 18 divisors (see below), whose sum is σ = 480168. Its totient is φ = 162792.

The previous prime is 285317. The next prime is 285343. The reversal of 285327 is 723582.

It is not a de Polignac number, because 285327 - 27 = 285199 is a prime.

It is a super-2 number, since 2×2853272 = 162822993858, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 214 + 82 + 38 + 53 + 218 + 72 .

285327 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 285327.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 285327.

It is not an unprimeable number, because it can be changed into a prime (285317) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 118 + ... + 764.

It is an arithmetic number, because the mean of its divisors is an integer number (26676).

285327 is a Friedman number, since it can be written as 5823*7^2, using all its digits and the basic arithmetic operations.

2285327 is an apocalyptic number.

285327 is a deficient number, since it is larger than the sum of its proper divisors (194841).

285327 is a wasteful number, since it uses less digits than its factorization.

285327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 657 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 285327 is about 534.1600883630. The cubic root of 285327 is about 65.8336028759.

The spelling of 285327 in words is "two hundred eighty-five thousand, three hundred twenty-seven".

Divisors: 1 3 7 9 21 49 63 147 441 647 1941 4529 5823 13587 31703 40761 95109 285327