4002765 has 24 divisors (see below), whose sum is σ = 6939360. Its totient is φ = 1969344.

The previous prime is 4002743. The next prime is 4002773. The reversal of 4002765 is 5672004.

It is a happy number.

It is not a de Polignac number, because 4002765 - 2¹⁰ = 4001741 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1746 + ... + 3324.

It is an arithmetic number, because the mean of its divisors is an integer number (289140).

Almost surely, 2^4002765 is an apocalyptic number.

It is an amenable number.

4002765 is a deficient number, since it is larger than the sum of its proper divisors (2936595).

4002765 is a wasteful number, since it uses less digits than its factorization.

4002765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 4002765 is about 2000.6911305846. The cubic root of 4002765 is about 158.7766731382.

Adding to 4002765 its reverse (5672004), we get a palindrome (9674769).

The spelling of 4002765 in words is "four million, two thousand, seven hundred sixty-five".