8019 has 14 divisors (see below), whose sum is σ = 13116. Its totient is φ = 4860.

The previous prime is 8017. The next prime is 8039. The reversal of 8019 is 9108.

It is not a de Polignac number, because 8019 - 2¹ = 8017 is a prime.

It is a super-2 number, since 2×8019² = 128608722, which contains 22 as substring.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 7992 and 8010.

It is not an unprimeable number, because it can be changed into a prime (8011) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 724 + ... + 734.

2⁸⁰¹⁹ is an apocalyptic number.

8019 is a deficient number, since it is larger than the sum of its proper divisors (5097).

8019 is an equidigital number, since it uses as much as digits as its factorization.

8019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 8019 is about 89.5488693396. The cubic root of 8019 is about 20.0158208151.

Subtracting from 8019 its sum of digits (18), we obtain a triangular number (8001 = T₁₂₆).

Subtracting 8019 from its reverse (9108), we obtain a square (1089 = 33²).

It can be divided in two parts, 80 and 19, that added together give a palindrome (99).

The spelling of 8019 in words is "eight thousand, nineteen".