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27073 is a prime number
BaseRepresentation
bin110100111000001
31101010201
412213001
51331243
6325201
7141634
oct64701
941121
1027073
1119382
1213801
13c427
149c1b
15804d
hex69c1

27073 has 2 divisors, whose sum is σ = 27074. Its totient is φ = 27072.

The previous prime is 27067. The next prime is 27077. The reversal of 27073 is 37072.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23104 + 3969 = 152^2 + 63^2 .

It is a cyclic number.

It is not a de Polignac number, because 27073 - 29 = 26561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27073.

It is not a weakly prime, because it can be changed into another prime (27077) 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 as a sum of consecutive naturals, namely, 13536 + 13537.

It is an arithmetic number, because the mean of its divisors is an integer number (13537).

227073 is an apocalyptic number.

It is an amenable number.

27073 is a deficient number, since it is larger than the sum of its proper divisors (1).

27073 is an equidigital number, since it uses as much as digits as its factorization.

27073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294, while the sum is 19.

The square root of 27073 is about 164.5387492356. The cubic root of 27073 is about 30.0270127069.

Subtracting 27073 from its reverse (37072), we obtain a palindrome (9999).

It can be divided in two parts, 270 and 73, that added together give a palindrome (343).

The spelling of 27073 in words is "twenty-seven thousand, seventy-three", and thus it is an iban number.