905985 has 20 divisors (see below), whose sum is σ = 1624788. Its totient is φ = 482976.

The previous prime is 905963. The next prime is 905999. The reversal of 905985 is 589509.

It can be written as a sum of positive squares in 2 ways, for example, as 531441 + 374544 = 729^2 + 612^2 .

It is not a de Polignac number, because 905985 - 2¹⁹ = 381697 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 905985.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 714 + ... + 1523.

2⁹⁰⁵⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

905985 is a deficient number, since it is larger than the sum of its proper divisors (718803).

905985 is a wasteful number, since it uses less digits than its factorization.

905985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 905985 is about 951.8324432378. The cubic root of 905985 is about 96.7624826151.

The spelling of 905985 in words is "nine hundred five thousand, nine hundred eighty-five".