4000685 has 16 divisors (see below), whose sum is σ = 5260080. Its totient is φ = 2903040.

The previous prime is 4000679. The next prime is 4000691. The reversal of 4000685 is 5860004.

It is an interprime number because it is at equal distance from previous prime (4000679) and next prime (4000691).

It can be written as a sum of positive squares in 8 ways, for example, as 1532644 + 2468041 = 1238^2 + 1571^2 .

It is not a de Polignac number, because 4000685 - 2⁴ = 4000669 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4000685.

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, 3461 + ... + 4469.

It is an arithmetic number, because the mean of its divisors is an integer number (328755).

Almost surely, 2^4000685 is an apocalyptic number.

It is an amenable number.

4000685 is a deficient number, since it is larger than the sum of its proper divisors (1259395).

4000685 is a wasteful number, since it uses less digits than its factorization.

4000685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 4000685 is about 2000.1712426690. The cubic root of 4000685 is about 158.7491660940.

Adding to 4000685 its reverse (5860004), we get a palindrome (9860689).

The spelling of 4000685 in words is "four million, six hundred eighty-five", and thus it is an aban number.