4004065 has 16 divisors (see below), whose sum is σ = 5216400. Its totient is φ = 2932992.

The previous prime is 4004057. The next prime is 4004069. The reversal of 4004065 is 5604004.

4004065 = T₃₁₈ + T₃₁₉ + ... + T₃₈₂.

4004065 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 283024 + 3721041 = 532^2 + 1929^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004065 - 2³ = 4004057 is a prime.

4004065 is a modest number, since divided by 4065 gives 40 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14751 + ... + 15019.

It is an arithmetic number, because the mean of its divisors is an integer number (326025).

Almost surely, 2^4004065 is an apocalyptic number.

It is an amenable number.

4004065 is a deficient number, since it is larger than the sum of its proper divisors (1212335).

4004065 is a wasteful number, since it uses less digits than its factorization.

4004065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516.

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4004065 is about 2001.0159919401. The cubic root of 4004065 is about 158.7938602021.

Adding to 4004065 its reverse (5604004), we get a palindrome (9608069).

It can be divided in two parts, 400 and 4065, that added together give a triangular number (4465 = T₉₄).

The spelling of 4004065 in words is "four million, four thousand, sixty-five".