3819 has 8 divisors (see below), whose sum is σ = 5440. Its totient is φ = 2376.

The previous prime is 3803. The next prime is 3821. The reversal of 3819 is 9183.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3819 - 2⁴ = 3803 is a prime.

It is a super-2 number, since 2×3819² = 29169522, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 3795 and 3804.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3819.

It is not an unprimeable number, because it can be changed into a prime (3889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24 + ... + 90.

It is an arithmetic number, because the mean of its divisors is an integer number (680).

3819 is a deficient number, since it is larger than the sum of its proper divisors (1621).

3819 is a wasteful number, since it uses less digits than its factorization.

3819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89.

The product of its digits is 216, while the sum is 21.

The square root of 3819 is about 61.7980582219. The cubic root of 3819 is about 15.6308724593.

The spelling of 3819 in words is "three thousand, eight hundred nineteen".