10819 has 4 divisors (see below), whose sum is σ = 11200. Its totient is φ = 10440.

The previous prime is 10799. The next prime is 10831. The reversal of 10819 is 91801.

10819 is nontrivially palindromic in base 9.

10819 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10819 - 2⁷ = 10691 is a prime.

It is a super-2 number, since 2×10819² = 234101522, 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 = 10796 and 10805.

It is not an unprimeable number, because it can be changed into a prime (10859) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 144 + ... + 205.

It is an arithmetic number, because the mean of its divisors is an integer number (2800).

2¹⁰⁸¹⁹ is an apocalyptic number.

10819 is a deficient number, since it is larger than the sum of its proper divisors (381).

10819 is an equidigital number, since it uses as much as digits as its factorization.

10819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380.

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 10819 is about 104.0144220769. The cubic root of 10819 is about 22.1171437309.

The spelling of 10819 in words is "ten thousand, eight hundred nineteen".