16001 has 2 divisors, whose sum is σ = 16002. Its totient is φ = 16000.

The previous prime is 15991. The next prime is 16007. The reversal of 16001 is 10061.

Adding to 16001 its reverse (10061), we get a palindrome (26062).

16001 is nontrivially palindromic in base 5.

16001 is digitally balanced in base 2, 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., 15376 + 625 = 124^2 + 25^2 .

It is an emirp because it is prime and its reverse (10061) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 10091 and 19001.

It is a cyclic number.

It is not a de Polignac number, because 16001 - 2^{6} = 15937 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 16001.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 16001.

It is not a weakly prime, because it can be changed into another prime (16007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8000 + 8001.

It is an arithmetic number, because the mean of its divisors is an integer number (8001).

It is a Proth number, since it is equal to 125 ⋅ 2^{7} + 1 and 125 < 2^{7}.

2^{16001} is an apocalyptic number.

It is an amenable number.

16001 is a deficient number, since it is larger than the sum of its proper divisors (1).

16001 is an equidigital number, since it uses as much as digits as its factorization.

16001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 16001 is about 126.4950591920. The cubic root of 16001 is about 25.1989459541.

The spelling of 16001 in words is "sixteen thousand, one".

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