19044 has 27 divisors (see below), whose sum is σ = 50323. Its totient is φ = 6072.

The previous prime is 19037. The next prime is 19051. The reversal of 19044 is 44091.

19044 = T₁₃₇ + T₁₃₈.

19044 = 17² + 18² + ... + 39².

The square root of 19044 is 138.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (19037) and next prime (19051).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is a plaindrome in base 13 and base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 817 + ... + 839.

2¹⁹⁰⁴⁴ is an apocalyptic number.

19044 is the 138-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19044

19044 is an abundant number, since it is smaller than the sum of its proper divisors (31279).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19044 is a wasteful number, since it uses less digits than its factorization.

19044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 19044 is about 26.7045987955.

Multiplying 19044 by its product of nonzero digits (144), we get a square (2742336 = 1656²).

It can be divided in two parts, 1 and 9044, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 19044 in words is "nineteen thousand, forty-four".