4085657 has 2 divisors, whose sum is σ = 4085658. Its totient is φ = 4085656.

The previous prime is 4085639. The next prime is 4085659. The reversal of 4085657 is 7565804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3748096 + 337561 = 1936^2 + 581^2 .

It is a cyclic number.

It is not a de Polignac number, because 4085657 - 2⁸ = 4085401 is a prime.

Together with 4085659, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₂₈₈₈₁₈ and since 4085657 and 288818 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (4085659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2042828 + 2042829.

It is an arithmetic number, because the mean of its divisors is an integer number (2042829).

Almost surely, 2^4085657 is an apocalyptic number.

It is an amenable number.

4085657 is a deficient number, since it is larger than the sum of its proper divisors (1).

4085657 is an equidigital number, since it uses as much as digits as its factorization.

4085657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 4085657 is about 2021.3008187798. The cubic root of 4085657 is about 159.8652120039.

The spelling of 4085657 in words is "four million, eighty-five thousand, six hundred fifty-seven".