4205005 has 16 divisors (see below), whose sum is σ = 5800320. Its totient is φ = 2866752.

The previous prime is 4204999. The next prime is 4205009. The reversal of 4205005 is 5005024.

It is a happy number.

It is not a de Polignac number, because 4205005 - 2³ = 4204997 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4205005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10906 + ... + 11284.

It is an arithmetic number, because the mean of its divisors is an integer number (362520).

Almost surely, 2^4205005 is an apocalyptic number.

It is an amenable number.

4205005 is a deficient number, since it is larger than the sum of its proper divisors (1595315).

4205005 is a wasteful number, since it uses less digits than its factorization.

4205005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708.

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 4205005 is about 2050.6108845902. The cubic root of 4205005 is about 161.4069281329.

It can be divided in two parts, 420500 and 5, that multiplied together give a square (2102500 = 1450²).

The spelling of 4205005 in words is "four million, two hundred five thousand, five".