3902985 has 40 divisors (see below), whose sum is σ = 7318080. Its totient is φ = 1986336.

The previous prime is 3902929. The next prime is 3903001. The reversal of 3902985 is 5892093.

3902985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3902985 - 2⁹ = 3902473 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

3902985 is a lucky number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 9106 + ... + 9524.

It is an arithmetic number, because the mean of its divisors is an integer number (182952).

Almost surely, 2^3902985 is an apocalyptic number.

It is an amenable number.

3902985 is a deficient number, since it is larger than the sum of its proper divisors (3415095).

3902985 is a wasteful number, since it uses less digits than its factorization.

3902985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3902985 is about 1975.5973780100. The cubic root of 3902985 is about 157.4462401555.

It can be divided in two parts, 390 and 2985, that added together give a cube (3375 = 15³).

The spelling of 3902985 in words is "three million, nine hundred two thousand, nine hundred eighty-five".