16337 has 6 divisors (see below), whose sum is σ = 17874. Its totient is φ = 14880.

The previous prime is 16333. The next prime is 16339. The reversal of 16337 is 73361.

16337 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 15376 + 961 = 124^2 + 31^2 .

It is not a de Polignac number, because 16337 - 2² = 16333 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (16333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 512 + ... + 542.

It is an arithmetic number, because the mean of its divisors is an integer number (2979).

2¹⁶³³⁷ is an apocalyptic number.

16337 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

16337 is a deficient number, since it is larger than the sum of its proper divisors (1537).

16337 is an equidigital number, since it uses as much as digits as its factorization.

16337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 48 counting only the distinct ones).

The product of its digits is 378, while the sum is 20.

The square root of 16337 is about 127.8162743941. The cubic root of 16337 is about 25.3741071620.

Adding to 16337 its reverse (73361), we get a palindrome (89698).

It can be divided in two parts, 16 and 337, that added together give a palindrome (353).

The spelling of 16337 in words is "sixteen thousand, three hundred thirty-seven".