4005823 has 6 divisors (see below), whose sum is σ = 4107632. Its totient is φ = 3906480.

The previous prime is 4005821. The next prime is 4005839. The reversal of 4005823 is 3285004.

It is not a de Polignac number, because 4005823 - 2¹ = 4005821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4005794 and 4005803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 490 + ... + 2872.

Almost surely, 2^4005823 is an apocalyptic number.

4005823 is a deficient number, since it is larger than the sum of its proper divisors (101809).

4005823 is an equidigital number, since it uses as much as digits as its factorization.

4005823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4005823 is about 2001.4552205833. The cubic root of 4005823 is about 158.8170964849.

The spelling of 4005823 in words is "four million, five thousand, eight hundred twenty-three".