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27217 = 171601
BaseRepresentation
bin110101001010001
31101100001
412221101
51332332
6330001
7142231
oct65121
941301
1027217
11194a3
1213901
13c508
149cc1
1580e7
hex6a51

27217 has 4 divisors (see below), whose sum is σ = 28836. Its totient is φ = 25600.

The previous prime is 27211. The next prime is 27239. The reversal of 27217 is 71272.

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 25281 + 1936 = 159^2 + 44^2 .

It is a cyclic number.

It is not a de Polignac number, because 27217 - 211 = 25169 is a prime.

It is a Duffinian number.

27217 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 27194 and 27203.

It is not an unprimeable number, because it can be changed into a prime (27211) 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, 784 + ... + 817.

It is an arithmetic number, because the mean of its divisors is an integer number (7209).

227217 is an apocalyptic number.

It is an amenable number.

27217 is a deficient number, since it is larger than the sum of its proper divisors (1619).

27217 is a wasteful number, since it uses less digits than its factorization.

27217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618.

The product of its digits is 196, while the sum is 19.

The square root of 27217 is about 164.9757557946. The cubic root of 27217 is about 30.0801560134.

Adding to 27217 its reverse (71272), we get a palindrome (98489).

It can be divided in two parts, 272 and 17, that multiplied together give a square (4624 = 682).

The spelling of 27217 in words is "twenty-seven thousand, two hundred seventeen", and thus it is an iban number.

Divisors: 1 17 1601 27217