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27009 = 323001

27009 has 6 divisors (see below), whose sum is σ = 39026. Its totient is φ = 18000.

The previous prime is 26993. The next prime is 27011. The reversal of 27009 is 90072.

It can be written as a sum of positive squares in only one way, i.e., 23409 + 3600 = 153^2 + 60^2 .

It is not a de Polignac number, because 27009 - 24 = 26993 is a prime.

It is a Duffinian number.

27009 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 26982 and 27000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27059) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1492 + ... + 1509.

227009 is an apocalyptic number.

It is an amenable number.

27009 is a deficient number, since it is larger than the sum of its proper divisors (12017).

27009 is a wasteful number, since it uses less digits than its factorization.

27009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 27009 is about 164.3441510976. The cubic root of 27009 is about 30.0033329630.

The spelling of 27009 in words is "twenty-seven thousand, nine".

Divisors: 1 3 9 3001 9003 27009