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BaseRepresentation
bin110100111101101
31101012100
412213231
51331432
6325313
7142026
oct64755
941170
1027117
1119412
1213839
13c45c
149c4d
15807c
hex69ed

27117 has 12 divisors (see below), whose sum is σ = 41184. Its totient is φ = 17160.

The previous prime is 27109. The next prime is 27127. The reversal of 27117 is 71172.

It is not a de Polignac number, because 27117 - 23 = 27109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142 + ... + 272.

It is an arithmetic number, because the mean of its divisors is an integer number (3432).

227117 is an apocalyptic number.

It is an amenable number.

27117 is a deficient number, since it is larger than the sum of its proper divisors (14067).

27117 is a wasteful number, since it uses less digits than its factorization.

27117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 157 counting only the distinct ones).

The product of its digits is 98, while the sum is 18.

The square root of 27117 is about 164.6724020594. The cubic root of 27117 is about 30.0432708910.

Adding to 27117 its reverse (71172), we get a palindrome (98289).

It can be divided in two parts, 27 and 117, that added together give a square (144 = 122).

The spelling of 27117 in words is "twenty-seven thousand, one hundred seventeen", and thus it is an iban number.

Divisors: 1 3 9 23 69 131 207 393 1179 3013 9039 27117