19885 has 8 divisors (see below), whose sum is σ = 24696. Its totient is φ = 15360.

The previous prime is 19867. The next prime is 19889. The reversal of 19885 is 58891.

19885 = T₅₈ + T₅₉ + ... + T₆₇.

19885 = 40² + 41² + ... + 49².

It can be written as a sum of positive squares in 4 ways, for example, as 4 + 19881 = 2^2 + 141^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 19885 - 2⁵ = 19853 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157 + ... + 253.

It is an arithmetic number, because the mean of its divisors is an integer number (3087).

2¹⁹⁸⁸⁵ is an apocalyptic number.

It is an amenable number.

19885 is a deficient number, since it is larger than the sum of its proper divisors (4811).

19885 is an equidigital number, since it uses as much as digits as its factorization.

19885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143.

The product of its digits is 2880, while the sum is 31.

The square root of 19885 is about 141.0141836838. The cubic root of 19885 is about 27.0920497914.

The spelling of 19885 in words is "nineteen thousand, eight hundred eighty-five".