19065 has 16 divisors (see below), whose sum is σ = 32256. Its totient is φ = 9600.

The previous prime is 19051. The next prime is 19069. The reversal of 19065 is 56091.

19065 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 19065 - 2⁶ = 19001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19069) 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, 445 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (2016).

2¹⁹⁰⁶⁵ is an apocalyptic number.

19065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19065 is a deficient number, since it is larger than the sum of its proper divisors (13191).

19065 is a wasteful number, since it uses less digits than its factorization.

19065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 19065 is about 138.0760659926. The cubic root of 19065 is about 26.7144109947.

Subtracting from 19065 its sum of digits (21), we obtain a square (19044 = 138²).

The spelling of 19065 in words is "nineteen thousand, sixty-five".