16838 has 4 divisors (see below), whose sum is σ = 25260. Its totient is φ = 8418.

The previous prime is 16831. The next prime is 16843. The reversal of 16838 is 83861.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 83861 = 17 ⋅4933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16831) by changing a digit.

16838 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4208 + ... + 4211.

It is an arithmetic number, because the mean of its divisors is an integer number (6315).

2¹⁶⁸³⁸ is an apocalyptic number.

16838 is a deficient number, since it is larger than the sum of its proper divisors (8422).

16838 is an equidigital number, since it uses as much as digits as its factorization.

16838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8421.

The product of its digits is 1152, while the sum is 26.

The square root of 16838 is about 129.7613193521. The cubic root of 16838 is about 25.6308790794.

The spelling of 16838 in words is "sixteen thousand, eight hundred thirty-eight".