4000857 has 16 divisors (see below), whose sum is σ = 6125952. Its totient is φ = 2275200.

The previous prime is 4000853. The next prime is 4000861. The reversal of 4000857 is 7580004.

4000857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4000853) and next prime (4000861).

It is not a de Polignac number, because 4000857 - 2² = 4000853 is a prime.

4000857 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4000853) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6357 + ... + 6957.

It is an arithmetic number, because the mean of its divisors is an integer number (382872).

Almost surely, 2^4000857 is an apocalyptic number.

It is an amenable number.

4000857 is a deficient number, since it is larger than the sum of its proper divisors (2125095).

4000857 is a wasteful number, since it uses less digits than its factorization.

4000857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 4000857 is about 2000.2142385255. The cubic root of 4000857 is about 158.7514410765.

The spelling of 4000857 in words is "four million, eight hundred fifty-seven", and thus it is an aban number.