3963085 has 16 divisors (see below), whose sum is σ = 5472000. Its totient is φ = 2699136.

The previous prime is 3963041. The next prime is 3963119. The reversal of 3963085 is 5803693.

It is a cyclic number.

It is not a de Polignac number, because 3963085 - 2¹⁵ = 3930317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3963085.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6681 + ... + 7249.

It is an arithmetic number, because the mean of its divisors is an integer number (342000).

Almost surely, 2^3963085 is an apocalyptic number.

3963085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3963085 is a deficient number, since it is larger than the sum of its proper divisors (1508915).

3963085 is a wasteful number, since it uses less digits than its factorization.

3963085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780.

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 3963085 is about 1990.7498587216. The cubic root of 3963085 is about 158.2502709911.

It can be divided in two parts, 396 and 3085, that added together give a square (3481 = 59²).

The spelling of 3963085 in words is "three million, nine hundred sixty-three thousand, eighty-five".