19350 has 36 divisors (see below), whose sum is σ = 53196. Its totient is φ = 5040.

The previous prime is 19333. The next prime is 19373. The reversal of 19350 is 5391.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

19350 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 17 ways as a sum of consecutive naturals, for example, 429 + ... + 471.

2¹⁹³⁵⁰ is an apocalyptic number.

19350 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 19350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26598).

19350 is an abundant number, since it is smaller than the sum of its proper divisors (33846).

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

19350 is a wasteful number, since it uses less digits than its factorization.

19350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 19350 is about 139.1042774324. The cubic root of 19350 is about 26.8468697910.

It can be divided in two parts, 193 and 50, that added together give a 5-th power (243 = 3⁵).

The spelling of 19350 in words is "nineteen thousand, three hundred fifty".