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13441 is a prime number
BaseRepresentation
bin11010010000001
3200102211
43102001
5412231
6142121
754121
oct32201
920384
1013441
11a10a
127941
13616c
144c81
153eb1
hex3481

13441 has 2 divisors, whose sum is σ = 13442. Its totient is φ = 13440.

The previous prime is 13421. The next prime is 13451. The reversal of 13441 is 14431.

13441 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9216 + 4225 = 96^2 + 65^2 .

It is an emirp because it is prime and its reverse (14431) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13441 - 27 = 13313 is a prime.

It is a Chen prime.

13441 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6720 + 6721.

It is an arithmetic number, because the mean of its divisors is an integer number (6721).

It is a Proth number, since it is equal to 105 ⋅ 27 + 1 and 105 < 27.

213441 is an apocalyptic number.

It is an amenable number.

13441 is a deficient number, since it is larger than the sum of its proper divisors (1).

13441 is an equidigital number, since it uses as much as digits as its factorization.

13441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48, while the sum is 13.

The square root of 13441 is about 115.9353267990. The cubic root of 13441 is about 23.7762774712.

Adding to 13441 its reverse (14431), we get a palindrome (27872).

Subtracting 13441 from its reverse (14431), we obtain a triangular number (990 = T44).

It can be divided in two parts, 13 and 441, that added together give a palindrome (454).

The spelling of 13441 in words is "thirteen thousand, four hundred forty-one".