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16349 is a prime number
BaseRepresentation
bin11111111011101
3211102112
43333131
51010344
6203405
765444
oct37735
924375
1016349
1111313
129565
137598
145d5b
154c9e
hex3fdd

16349 has 2 divisors, whose sum is σ = 16350. Its totient is φ = 16348.

The previous prime is 16339. The next prime is 16361. The reversal of 16349 is 94361.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11449 + 4900 = 107^2 + 70^2 .

It is a cyclic number.

It is not a de Polignac number, because 16349 - 24 = 16333 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 7.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (16319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8174 + 8175.

It is an arithmetic number, because the mean of its divisors is an integer number (8175).

216349 is an apocalyptic number.

It is an amenable number.

16349 is a deficient number, since it is larger than the sum of its proper divisors (1).

16349 is an equidigital number, since it uses as much as digits as its factorization.

16349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648, while the sum is 23.

The square root of 16349 is about 127.8632081562. The cubic root of 16349 is about 25.3803183139.

It can be divided in two parts, 1634 and 9, that multiplied together give a triangular number (14706 = T171).

The spelling of 16349 in words is "sixteen thousand, three hundred forty-nine".