19005 has 16 divisors (see below), whose sum is σ = 34944. Its totient is φ = 8640.

The previous prime is 19001. The next prime is 19009. The reversal of 19005 is 50091.

19005 = 4² + 5² + ... + 38².

19005 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (19001) and next prime (19009).

It is not a de Polignac number, because 19005 - 2² = 19001 is a prime.

It is a super-2 number, since 2×19005² = 722380050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15 + ... + 195.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

2¹⁹⁰⁰⁵ is an apocalyptic number.

19005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19005 is a deficient number, since it is larger than the sum of its proper divisors (15939).

19005 is a wasteful number, since it uses less digits than its factorization.

19005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 19005 is about 137.8586232341. The cubic root of 19005 is about 26.6863569851.

Adding to 19005 its reverse (50091), we get a palindrome (69096).

The spelling of 19005 in words is "nineteen thousand, five".