2135965 has 16 divisors (see below), whose sum is σ = 2924208. Its totient is φ = 1483776.

The previous prime is 2135957. The next prime is 2135971. The reversal of 2135965 is 5695312.

2135965 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 1444 + 2134521 = 38^2 + 1461^2 .

It is a cyclic number.

It is not a de Polignac number, because 2135965 - 2³ = 2135957 is a prime.

It is a d-powerful number, because it can be written as 2¹⁶ + 1 + 3⁴ + 5² + 9² + 6⁸ + 5⁸ .

It is a Duffinian number.

It is a zygodrome in base 3.

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 15 ways as a sum of consecutive naturals, for example, 139 + ... + 2071.

It is an arithmetic number, because the mean of its divisors is an integer number (182763).

2^2135965 is an apocalyptic number.

It is an amenable number.

2135965 is a deficient number, since it is larger than the sum of its proper divisors (788243).

2135965 is a wasteful number, since it uses less digits than its factorization.

2135965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968.

The product of its digits is 8100, while the sum is 31.

The square root of 2135965 is about 1461.4940985170. The cubic root of 2135965 is about 128.7848304923.

The spelling of 2135965 in words is "two million, one hundred thirty-five thousand, nine hundred sixty-five".