4085953 has 2 divisors, whose sum is σ = 4085954. Its totient is φ = 4085952.

The previous prime is 4085951. The next prime is 4085957. The reversal of 4085953 is 3595804.

4085953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3932289 + 153664 = 1983^2 + 392^2 .

It is a cyclic number.

It is not a de Polignac number, because 4085953 - 2¹ = 4085951 is a prime.

Together with 4085951, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4085951) 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 as a sum of consecutive naturals, namely, 2042976 + 2042977.

It is an arithmetic number, because the mean of its divisors is an integer number (2042977).

Almost surely, 2^4085953 is an apocalyptic number.

It is an amenable number.

4085953 is a deficient number, since it is larger than the sum of its proper divisors (1).

4085953 is an equidigital number, since it uses as much as digits as its factorization.

4085953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 4085953 is about 2021.3740376289. The cubic root of 4085953 is about 159.8690725793.

The spelling of 4085953 in words is "four million, eighty-five thousand, nine hundred fifty-three".