19085985 has 48 divisors (see below), whose sum is σ = 35689680. Its totient is φ = 9400320.

The previous prime is 19085981. The next prime is 19085999. The reversal of 19085985 is 58958091.

It can be written as a sum of positive squares in 8 ways, for example, as 6561 + 19079424 = 81^2 + 4368^2 .

It is not a de Polignac number, because 19085985 - 2² = 19085981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 19085985.

It is not an unprimeable number, because it can be changed into a prime (19085981) 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 47 ways as a sum of consecutive naturals, for example, 46461 + ... + 46869.

It is an arithmetic number, because the mean of its divisors is an integer number (743535).

Almost surely, 2^19085985 is an apocalyptic number.

19085985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19085985 is a deficient number, since it is larger than the sum of its proper divisors (16603695).

19085985 is a wasteful number, since it uses less digits than its factorization.

19085985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The square root of 19085985 is about 4368.7509656651. The cubic root of 19085985 is about 267.2420899025.

The spelling of 19085985 in words is "nineteen million, eighty-five thousand, nine hundred eighty-five".