19935 has 12 divisors (see below), whose sum is σ = 34632. Its totient is φ = 10608.

The previous prime is 19927. The next prime is 19937. The reversal of 19935 is 53991.

It is not a de Polignac number, because 19935 - 2³ = 19927 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 19899 and 19908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177 + ... + 266.

It is an arithmetic number, because the mean of its divisors is an integer number (2886).

2¹⁹⁹³⁵ is an apocalyptic number.

19935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19935 is a deficient number, since it is larger than the sum of its proper divisors (14697).

19935 is a wasteful number, since it uses less digits than its factorization.

19935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 451 counting only the distinct ones).

The product of its digits is 1215, while the sum is 27.

The square root of 19935 is about 141.1913595090. The cubic root of 19935 is about 27.1147380608.

The spelling of 19935 in words is "nineteen thousand, nine hundred thirty-five".