19045 has 8 divisors (see below), whose sum is σ = 24696. Its totient is φ = 14016.

The previous prime is 19037. The next prime is 19051. The reversal of 19045 is 54091.

19045 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 138²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 2916 + 16129 = 54^2 + 127^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 19045 - 2³ = 19037 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11 and base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82 + ... + 211.

It is an arithmetic number, because the mean of its divisors is an integer number (3087).

2¹⁹⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

19045 is a deficient number, since it is larger than the sum of its proper divisors (5651).

19045 is a wasteful number, since it uses less digits than its factorization.

19045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 19045 is about 138.0036231408. The cubic root of 19045 is about 26.7050662066.

The spelling of 19045 in words is "nineteen thousand, forty-five".