19835985 has 16 divisors (see below), whose sum is σ = 34179264. Its totient is φ = 9765312.

The previous prime is 19835951. The next prime is 19835993. The reversal of 19835985 is 58953891.

It is not a de Polignac number, because 19835985 - 2¹⁰ = 19834961 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50667 + ... + 51056.

It is an arithmetic number, because the mean of its divisors is an integer number (2136204).

Almost surely, 2^19835985 is an apocalyptic number.

19835985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19835985 is a deficient number, since it is larger than the sum of its proper divisors (14343279).

19835985 is a wasteful number, since it uses less digits than its factorization.

19835985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101744.

The product of its digits is 388800, while the sum is 48.

The square root of 19835985 is about 4453.7607704052. The cubic root of 19835985 is about 270.6977153494.

The spelling of 19835985 in words is "nineteen million, eight hundred thirty-five thousand, nine hundred eighty-five".