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13789 is a prime number
BaseRepresentation
bin11010111011101
3200220201
43113131
5420124
6143501
755126
oct32735
920821
1013789
11a3a6
127b91
136379
14504d
154144
hex35dd

13789 has 2 divisors, whose sum is σ = 13790. Its totient is φ = 13788.

The previous prime is 13781. The next prime is 13799. The reversal of 13789 is 98731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13689 + 100 = 117^2 + 10^2 .

It is an emirp because it is prime and its reverse (98731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13789 - 23 = 13781 is a prime.

It is a Chen prime.

It is a plaindrome in base 10 and base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6894 + 6895.

It is an arithmetic number, because the mean of its divisors is an integer number (6895).

213789 is an apocalyptic number.

It is an amenable number.

13789 is a deficient number, since it is larger than the sum of its proper divisors (1).

13789 is an equidigital number, since it uses as much as digits as its factorization.

13789 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1512, while the sum is 28.

The square root of 13789 is about 117.4265728019. The cubic root of 13789 is about 23.9797282525.

The spelling of 13789 in words is "thirteen thousand, seven hundred eighty-nine".