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27397 is a prime number
BaseRepresentation
bin110101100000101
31101120201
412230011
51334042
6330501
7142606
oct65405
941521
1027397
1119647
1213a31
13c616
149dad
1581b7
hex6b05

27397 has 2 divisors, whose sum is σ = 27398. Its totient is φ = 27396.

The previous prime is 27367. The next prime is 27407. The reversal of 27397 is 79372.

It is a happy number.

27397 is nontrivially palindromic in base 12.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25281 + 2116 = 159^2 + 46^2 .

It is a cyclic number.

It is not a de Polignac number, because 27397 - 211 = 25349 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 (27337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13698 + 13699.

It is an arithmetic number, because the mean of its divisors is an integer number (13699).

227397 is an apocalyptic number.

It is an amenable number.

27397 is a deficient number, since it is larger than the sum of its proper divisors (1).

27397 is an equidigital number, since it uses as much as digits as its factorization.

27397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2646, while the sum is 28.

The square root of 27397 is about 165.5203914930. The cubic root of 27397 is about 30.1463222038.

It can be divided in two parts, 27 and 397, that added together give a palindrome (424).

The spelling of 27397 in words is "twenty-seven thousand, three hundred ninety-seven".