2002565 has 8 divisors (see below), whose sum is σ = 2428440. Its totient is φ = 1585152.

The previous prime is 2002547. The next prime is 2002577. The reversal of 2002565 is 5652002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 201601 + 1800964 = 449^2 + 1342^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2002565 - 2¹⁰ = 2001541 is a prime.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1580 + ... + 2549.

It is an arithmetic number, because the mean of its divisors is an integer number (303555).

2^2002565 is an apocalyptic number.

It is an amenable number.

2002565 is a deficient number, since it is larger than the sum of its proper divisors (425875).

2002565 is an equidigital number, since it uses as much as digits as its factorization.

2002565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231.

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2002565 is about 1415.1201362429. The cubic root of 2002565 is about 126.0459436049.

Adding to 2002565 its reverse (5652002), we get a palindrome (7654567).

The spelling of 2002565 in words is "two million, two thousand, five hundred sixty-five".