2165205 has 32 divisors (see below), whose sum is σ = 4195584. Its totient is φ = 930816.

The previous prime is 2165201. The next prime is 2165213. The reversal of 2165205 is 5025612.

It is not a de Polignac number, because 2165205 - 2² = 2165201 is a prime.

It is a super-2 number, since 2×2165205² = 9376225384050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1179 + ... + 2391.

It is an arithmetic number, because the mean of its divisors is an integer number (131112).

2^2165205 is an apocalyptic number.

It is an amenable number.

2165205 is a deficient number, since it is larger than the sum of its proper divisors (2030379).

2165205 is a wasteful number, since it uses less digits than its factorization.

2165205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2165205 is about 1471.4635571430. The cubic root of 2165205 is about 129.3698298944.

The spelling of 2165205 in words is "two million, one hundred sixty-five thousand, two hundred five".