19000 has 32 divisors (see below), whose sum is σ = 46800. Its totient is φ = 7200.

The previous prime is 18979. The next prime is 19001. The reversal of 19000 is 91.

It is a happy number.

It is a super-2 number, since 2×19000² = 722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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

19000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 991 + ... + 1009.

2¹⁹⁰⁰⁰ is an apocalyptic number.

19000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23400).

19000 is an abundant number, since it is smaller than the sum of its proper divisors (27800).

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

19000 is a wasteful number, since it uses less digits than its factorization.

19000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 19000 is about 137.8404875209. The cubic root of 19000 is about 26.6840164872.

Adding to 19000 its reverse (91), we get a palindrome (19091).

The spelling of 19000 in words is "nineteen thousand".