8906985 has 12 divisors (see below), whose sum is σ = 15438852. Its totient is φ = 4750368.

The previous prime is 8906969. The next prime is 8907007. The reversal of 8906985 is 5896098.

8906985 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1022121 + 7884864 = 1011^2 + 2808^2 .

It is not a de Polignac number, because 8906985 - 2⁴ = 8906969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 197933 = 8906985 / (8 + 9 + 0 + 6 + 9 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 8906985.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98922 + ... + 99011.

It is an arithmetic number, because the mean of its divisors is an integer number (1286571).

Almost surely, 2^8906985 is an apocalyptic number.

It is an amenable number.

8906985 is a deficient number, since it is larger than the sum of its proper divisors (6531867).

8906985 is a wasteful number, since it uses less digits than its factorization.

8906985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197944 (or 197941 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 8906985 is about 2984.4572370868. The cubic root of 8906985 is about 207.2893105069.

It can be divided in two parts, 890 and 6985, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 8906985 in words is "eight million, nine hundred six thousand, nine hundred eighty-five".