19485 has 12 divisors (see below), whose sum is σ = 33852. Its totient is φ = 10368.

The previous prime is 19483. The next prime is 19489. The reversal of 19485 is 58491.

It can be written as a sum of positive squares in 2 ways, for example, as 4356 + 15129 = 66^2 + 123^2 .

It is not a de Polignac number, because 19485 - 2¹ = 19483 is a prime.

It is a super-3 number, since 3×19485³ = 22193330727375, which contains 333 as substring.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19483) 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 11 ways as a sum of consecutive naturals, for example, 172 + ... + 261.

It is an arithmetic number, because the mean of its divisors is an integer number (2821).

2¹⁹⁴⁸⁵ is an apocalyptic number.

19485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19485 is a deficient number, since it is larger than the sum of its proper divisors (14367).

19485 is a wasteful number, since it uses less digits than its factorization.

19485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 441 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 19485 is about 139.5886814896. The cubic root of 19485 is about 26.9091597354.

It can be divided in two parts, 1948 and 5, that added together give a triangular number (1953 = T₆₂).

The spelling of 19485 in words is "nineteen thousand, four hundred eighty-five".