4005730 has 16 divisors (see below), whose sum is σ = 7235640. Its totient is φ = 1596672.

The previous prime is 4005691. The next prime is 4005733. The reversal of 4005730 is 375004.

It can be written as a sum of positive squares in 4 ways, for example, as 3164841 + 840889 = 1779^2 + 917^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4005698 and 4005707.

It is not an unprimeable number, because it can be changed into a prime (4005733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3466 + ... + 4474.

Almost surely, 2^4005730 is an apocalyptic number.

4005730 is a deficient number, since it is larger than the sum of its proper divisors (3229910).

4005730 is a wasteful number, since it uses less digits than its factorization.

4005730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413.

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 4005730 is about 2001.4319873531. The cubic root of 4005730 is about 158.8158674321.

The spelling of 4005730 in words is "four million, five thousand, seven hundred thirty".