19796 has 18 divisors (see below), whose sum is σ = 40698. Its totient is φ = 8400.

The previous prime is 19793. The next prime is 19801. The reversal of 19796 is 69791.

It can be written as a sum of positive squares in only one way, i.e., 19600 + 196 = 140^2 + 14^2 .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19793) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 146 + ... + 246.

It is an arithmetic number, because the mean of its divisors is an integer number (2261).

2¹⁹⁷⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20349).

19796 is an abundant number, since it is smaller than the sum of its proper divisors (20902).

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

19796 is a wasteful number, since it uses less digits than its factorization.

19796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 110 counting only the distinct ones).

The product of its digits is 3402, while the sum is 32.

The square root of 19796 is about 140.6982586957. The cubic root of 19796 is about 27.0515703900.

The spelling of 19796 in words is "nineteen thousand, seven hundred ninety-six".