4005747 has 8 divisors (see below), whose sum is σ = 5934480. Its totient is φ = 2670480.

The previous prime is 4005733. The next prime is 4005767. The reversal of 4005747 is 7475004.

It is not a de Polignac number, because 4005747 - 2⁷ = 4005619 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 148361 = 4005747 / (4 + 0 + 0 + 5 + 7 + 4 + 7).

It is a self number, because there is not a number n which added to its sum of digits gives 4005747.

It is not an unprimeable number, because it can be changed into a prime (4005767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74154 + ... + 74207.

It is an arithmetic number, because the mean of its divisors is an integer number (741810).

Almost surely, 2^4005747 is an apocalyptic number.

4005747 is a deficient number, since it is larger than the sum of its proper divisors (1928733).

4005747 is a wasteful number, since it uses less digits than its factorization.

4005747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148370 (or 148364 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 4005747 is about 2001.4362343078. The cubic root of 4005747 is about 158.8160920991.

It can be divided in two parts, 40057 and 47, that added together give a palindrome (40104).

The spelling of 4005747 in words is "four million, five thousand, seven hundred forty-seven".