19050 has 24 divisors (see below), whose sum is σ = 47616. Its totient is φ = 5040.

The previous prime is 19037. The next prime is 19051. The reversal of 19050 is 5091.

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

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (19051) by changing a digit.

19050 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 87 + ... + 213.

It is an arithmetic number, because the mean of its divisors is an integer number (1984).

2¹⁹⁰⁵⁰ is an apocalyptic number.

19050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23808).

19050 is an abundant number, since it is smaller than the sum of its proper divisors (28566).

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

19050 is a wasteful number, since it uses less digits than its factorization.

19050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 137 counting only the distinct ones).

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

The square root of 19050 is about 138.0217374184. The cubic root of 19050 is about 26.7074030167.

The spelling of 19050 in words is "nineteen thousand, fifty".