4768005 has 48 divisors (see below), whose sum is σ = 8733312. Its totient is φ = 2217600.

The previous prime is 4768003. The next prime is 4768019. The reversal of 4768005 is 5008674.

It is a happy number.

It is not a de Polignac number, because 4768005 - 2¹ = 4768003 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4768003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67120 + ... + 67190.

It is an arithmetic number, because the mean of its divisors is an integer number (181944).

Almost surely, 2^4768005 is an apocalyptic number.

It is an amenable number.

4768005 is a deficient number, since it is larger than the sum of its proper divisors (3965307).

4768005 is a wasteful number, since it uses less digits than its factorization.

4768005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 4768005 is about 2183.5761951441. The cubic root of 4768005 is about 168.3108968125.

The spelling of 4768005 in words is "four million, seven hundred sixty-eight thousand, five".