4005365 has 16 divisors (see below), whose sum is σ = 5916288. Its totient is φ = 2534976.

The previous prime is 4005347. The next prime is 4005367. The reversal of 4005365 is 5635004.

It is a cyclic number.

It is not a de Polignac number, because 4005365 - 2⁶ = 4005301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4005365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005367) 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, 3947 + ... + 4856.

It is an arithmetic number, because the mean of its divisors is an integer number (369768).

Almost surely, 2^4005365 is an apocalyptic number.

It is an amenable number.

4005365 is a deficient number, since it is larger than the sum of its proper divisors (1910923).

4005365 is a wasteful number, since it uses less digits than its factorization.

4005365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8828.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 4005365 is about 2001.3408005635. The cubic root of 4005365 is about 158.8110435463.

The spelling of 4005365 in words is "four million, five thousand, three hundred sixty-five".