4085761 has 2 divisors, whose sum is σ = 4085762. Its totient is φ = 4085760.

The previous prime is 4085749. The next prime is 4085771. The reversal of 4085761 is 1675804.

4085761 is nontrivially palindromic in base 12.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3538161 + 547600 = 1881^2 + 740^2 .

It is a cyclic number.

It is not a de Polignac number, because 4085761 - 2⁷ = 4085633 is a prime.

4085761 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (4085771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2042880 + 2042881.

It is an arithmetic number, because the mean of its divisors is an integer number (2042881).

It is a Proth number, since it is equal to 1995 ⋅ 2¹¹ + 1 and 1995 < 2¹¹.

Almost surely, 2^4085761 is an apocalyptic number.

It is an amenable number.

4085761 is a deficient number, since it is larger than the sum of its proper divisors (1).

4085761 is an equidigital number, since it uses as much as digits as its factorization.

4085761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 4085761 is about 2021.3265446236. The cubic root of 4085761 is about 159.8665684436.

The spelling of 4085761 in words is "four million, eighty-five thousand, seven hundred sixty-one".