2135565 has 20 divisors (see below), whose sum is σ = 3828924. Its totient is φ = 1138752.

The previous prime is 2135563. The next prime is 2135597. The reversal of 2135565 is 5655312.

It can be written as a sum of positive squares in 2 ways, for example, as 910116 + 1225449 = 954^2 + 1107^2 .

It is not a de Polignac number, because 2135565 - 2¹ = 2135563 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135563) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2232 + ... + 3041.

2^2135565 is an apocalyptic number.

It is an amenable number.

2135565 is a deficient number, since it is larger than the sum of its proper divisors (1693359).

2135565 is an equidigital number, since it uses as much as digits as its factorization.

2135565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5290 (or 5281 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 2135565 is about 1461.3572458506. The cubic root of 2135565 is about 128.7767908556.

It can be divided in two parts, 213 and 5565, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 2135565 in words is "two million, one hundred thirty-five thousand, five hundred sixty-five".