Search a number
27361 is a prime number
BaseRepresentation
bin110101011100001
31101112101
412223201
51333421
6330401
7142525
oct65341
941471
1027361
1119614
1213a01
13c5b9
149d85
158191
hex6ae1

27361 has 2 divisors, whose sum is σ = 27362. Its totient is φ = 27360.

The previous prime is 27337. The next prime is 27367. The reversal of 27361 is 16372.

It can be divided in two parts, 273 and 61, that multiplied together give a triangular number (16653 = T182).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24336 + 3025 = 156^2 + 55^2 .

It is a cyclic number.

It is not a de Polignac number, because 27361 - 25 = 27329 is a prime.

It is a d-powerful number, because it can be written as 211 + 75 + 36 + 65 + 1 .

It is not a weakly prime, because it can be changed into another prime (27367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13680 + 13681.

It is an arithmetic number, because the mean of its divisors is an integer number (13681).

227361 is an apocalyptic number.

27361 is the 96-th hex number.

It is an amenable number.

27361 is a deficient number, since it is larger than the sum of its proper divisors (1).

27361 is an equidigital number, since it uses as much as digits as its factorization.

27361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 252, while the sum is 19.

The square root of 27361 is about 165.4116078152. The cubic root of 27361 is about 30.1331122015.

The spelling of 27361 in words is "twenty-seven thousand, three hundred sixty-one".