2164905 has 12 divisors (see below), whose sum is σ = 3752580. Its totient is φ = 1154592.

The previous prime is 2164901. The next prime is 2164919. The reversal of 2164905 is 5094612.

It can be written as a sum of positive squares in 2 ways, for example, as 992016 + 1172889 = 996^2 + 1083^2 .

It is not a de Polignac number, because 2164905 - 2² = 2164901 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2164901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24010 + ... + 24099.

It is an arithmetic number, because the mean of its divisors is an integer number (312715).

2^2164905 is an apocalyptic number.

It is an amenable number.

2164905 is a deficient number, since it is larger than the sum of its proper divisors (1587675).

2164905 is a wasteful number, since it uses less digits than its factorization.

2164905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48120 (or 48117 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2164905 is about 1471.3616142879. The cubic root of 2164905 is about 129.3638546725.

The spelling of 2164905 in words is "two million, one hundred sixty-four thousand, nine hundred five".