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13841 is a prime number
BaseRepresentation
bin11011000010001
3200222122
43120101
5420331
6144025
755232
oct33021
920878
1013841
11a443
128015
1363b9
145089
15417b
hex3611

13841 has 2 divisors, whose sum is σ = 13842. Its totient is φ = 13840.

The previous prime is 13831. The next prime is 13859. The reversal of 13841 is 14831.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10816 + 3025 = 104^2 + 55^2 .

It is an emirp because it is prime and its reverse (14831) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13841 is a prime.

It is a Chen prime.

It is a nialpdrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6920 + 6921.

It is an arithmetic number, because the mean of its divisors is an integer number (6921).

213841 is an apocalyptic number.

It is an amenable number.

13841 is a deficient number, since it is larger than the sum of its proper divisors (1).

13841 is an equidigital number, since it uses as much as digits as its factorization.

13841 is an evil number, because the sum of its binary digits is even.

The product of its digits is 96, while the sum is 17.

The square root of 13841 is about 117.6477794096. The cubic root of 13841 is about 24.0098339330.

Subtracting from 13841 its sum of digits (17), we obtain a cube (13824 = 243).

Subtracting 13841 from its reverse (14831), we obtain a triangular number (990 = T44).

The spelling of 13841 in words is "thirteen thousand, eight hundred forty-one".