2165828 has 12 divisors (see below), whose sum is σ = 4331712. Its totient is φ = 928200.

The previous prime is 2165819. The next prime is 2165843. The reversal of 2165828 is 8285612.

2165828 is an admirable number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 2¹⁵ + 1 + 6 + 5⁵ + 8 + 2²¹ + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 2165794 and 2165803.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38648 + ... + 38703.

It is an arithmetic number, because the mean of its divisors is an integer number (360976).

2^2165828 is an apocalyptic number.

2165828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2165828 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2165828 is a wasteful number, since it uses less digits than its factorization.

2165828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77362 (or 77360 counting only the distinct ones).

The product of its digits is 7680, while the sum is 32.

The square root of 2165828 is about 1471.6752359131. The cubic root of 2165828 is about 129.3822366758.

The spelling of 2165828 in words is "two million, one hundred sixty-five thousand, eight hundred twenty-eight".