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27653 is a prime number
BaseRepresentation
bin110110000000101
31101221012
412300011
51341103
6332005
7143423
oct66005
941835
1027653
111985a
1214005
13c782
14a113
1582d8
hex6c05

27653 has 2 divisors, whose sum is σ = 27654. Its totient is φ = 27652.

The previous prime is 27647. The next prime is 27673. The reversal of 27653 is 35672.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14884 + 12769 = 122^2 + 113^2 .

It is a cyclic number.

It is not a de Polignac number, because 27653 - 28 = 27397 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13826 + 13827.

It is an arithmetic number, because the mean of its divisors is an integer number (13827).

27653 is a Friedman number, since it can be written as 5+6^3*2^7, using all its digits and the basic arithmetic operations.

227653 is an apocalyptic number.

It is an amenable number.

27653 is a deficient number, since it is larger than the sum of its proper divisors (1).

27653 is an equidigital number, since it uses as much as digits as its factorization.

27653 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1260, while the sum is 23.

The square root of 27653 is about 166.2919120102. The cubic root of 27653 is about 30.2399278901.

The spelling of 27653 in words is "twenty-seven thousand, six hundred fifty-three".