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16385 = 529113
BaseRepresentation
bin100000000000001
3211110212
410000001
51011020
6203505
765525
oct40001
924425
1016385
1111346
129595
1375c5
145d85
154cc5
hex4001

16385 has 8 divisors (see below), whose sum is σ = 20520. Its totient is φ = 12544.

The previous prime is 16381. The next prime is 16411. The reversal of 16385 is 58361.

16385 is nontrivially palindromic in base 2 and base 4.

It is a Cunningham number, because it is equal to 214+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 16384 = 1^2 + 128^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 16385 - 22 = 16381 is a prime.

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

16385 is an undulating number in base 12.

It is a Curzon number.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 16385.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89 + ... + 201.

It is an arithmetic number, because the mean of its divisors is an integer number (2565).

16385 is a Friedman number, since it can be written as (8^5*3)/6+1, using all its digits and the basic arithmetic operations.

It is a Proth number, since it is equal to 1 ⋅ 214 + 1 and 1 < 214.

216385 is an apocalyptic number.

It is an amenable number.

16385 is a deficient number, since it is larger than the sum of its proper divisors (4135).

16385 is a wasteful number, since it uses less digits than its factorization.

16385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147.

The product of its digits is 720, while the sum is 23.

The square root of 16385 is about 128.0039061904. The cubic root of 16385 is about 25.3989335531.

The spelling of 16385 in words is "sixteen thousand, three hundred eighty-five".

Divisors: 1 5 29 113 145 565 3277 16385