4002065 has 16 divisors (see below), whose sum is σ = 5116800. Its totient is φ = 2996352.

The previous prime is 4002049. The next prime is 4002067. The reversal of 4002065 is 5602004.

It is a cyclic number.

It is not a de Polignac number, because 4002065 - 2⁴ = 4002049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4002067) 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, 9581 + ... + 9989.

It is an arithmetic number, because the mean of its divisors is an integer number (319800).

Almost surely, 2^4002065 is an apocalyptic number.

It is an amenable number.

4002065 is a deficient number, since it is larger than the sum of its proper divisors (1114735).

4002065 is a wasteful number, since it uses less digits than its factorization.

4002065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536.

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 4002065 is about 2000.5161833887. The cubic root of 4002065 is about 158.7674170239.

Adding to 4002065 its reverse (5602004), we get a palindrome (9604069).

The spelling of 4002065 in words is "four million, two thousand, sixty-five".