19734 has 32 divisors (see below), whose sum is σ = 48384. Its totient is φ = 5280.

The previous prime is 19727. The next prime is 19739. The reversal of 19734 is 43791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19739) by changing a digit.

19734 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 15 ways as a sum of consecutive naturals, for example, 847 + ... + 869.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

19734 is a Friedman number, since it can be written as (17+9^4)*3, using all its digits and the basic arithmetic operations.

2¹⁹⁷³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192).

19734 is an abundant number, since it is smaller than the sum of its proper divisors (28650).

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

19734 is a wasteful number, since it uses less digits than its factorization.

19734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52.

The product of its digits is 756, while the sum is 24.

The square root of 19734 is about 140.4777562463. The cubic root of 19734 is about 27.0232995039.

It can be divided in two parts, 197 and 34, that added together give a triangular number (231 = T₂₁).

The spelling of 19734 in words is "nineteen thousand, seven hundred thirty-four".