2164825 has 12 divisors (see below), whose sum is σ = 2891308. Its totient is φ = 1598400.

The previous prime is 2164817. The next prime is 2164843. The reversal of 2164825 is 5284612.

It can be written as a sum of positive squares in 6 ways, for example, as 9801 + 2155024 = 99^2 + 1468^2 .

It is not a de Polignac number, because 2164825 - 2³ = 2164817 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2164793 and 2164802.

It is an unprimeable number.

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, 3006 + ... + 3655.

2^2164825 is an apocalyptic number.

2164825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2164825 is a deficient number, since it is larger than the sum of its proper divisors (726483).

2164825 is a wasteful number, since it uses less digits than its factorization.

2164825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6684 (or 6679 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 2164825 is about 1471.3344283337. The cubic root of 2164825 is about 129.3622611867.

It can be divided in two parts, 216 and 4825, that added together give a square (5041 = 71²).

The spelling of 2164825 in words is "two million, one hundred sixty-four thousand, eight hundred twenty-five".