16819 has 6 divisors (see below), whose sum is σ = 18620. Its totient is φ = 15180.

The previous prime is 16811. The next prime is 16823. The reversal of 16819 is 91861.

It is not a de Polignac number, because 16819 - 2³ = 16811 is a prime.

It is a super-2 number, since 2×16819² = 565757522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16793 and 16802.

It is not an unprimeable number, because it can be changed into a prime (16811) 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 in 5 ways as a sum of consecutive naturals, for example, 52 + ... + 190.

2¹⁶⁸¹⁹ is an apocalyptic number.

16819 is a deficient number, since it is larger than the sum of its proper divisors (1801).

16819 is a wasteful number, since it uses less digits than its factorization.

16819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 150 counting only the distinct ones).

The product of its digits is 432, while the sum is 25.

The square root of 16819 is about 129.6880873481. The cubic root of 16819 is about 25.6212348226.

It can be divided in two parts, 1681 and 9, that multiplied together give a square (15129 = 123²).

The spelling of 16819 in words is "sixteen thousand, eight hundred nineteen".