2164305 has 32 divisors (see below), whose sum is σ = 4072320. Its totient is φ = 967680.

The previous prime is 2164291. The next prime is 2164307. The reversal of 2164305 is 5034612.

It is a happy number.

It is not a de Polignac number, because 2164305 - 2⁵ = 2164273 is a prime.

It is a super-2 number, since 2×2164305² = 9368432266050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2164307) 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 31 ways as a sum of consecutive naturals, for example, 1641 + ... + 2649.

It is an arithmetic number, because the mean of its divisors is an integer number (127260).

2^2164305 is an apocalyptic number.

It is an amenable number.

2164305 is a deficient number, since it is larger than the sum of its proper divisors (1908015).

2164305 is a wasteful number, since it uses less digits than its factorization.

2164305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2164305 is about 1471.1577073856. The cubic root of 2164305 is about 129.3519025722.

Adding to 2164305 its reverse (5034612), we get a palindrome (7198917).

The spelling of 2164305 in words is "two million, one hundred sixty-four thousand, three hundred five".