2165000 has 40 divisors (see below), whose sum is σ = 5084310. Its totient is φ = 864000.

The previous prime is 2164991. The next prime is 2165017. The reversal of 2165000 is 5612.

It can be written as a sum of positive squares in 5 ways, for example, as 27556 + 2137444 = 166^2 + 1462^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4784 + ... + 5216.

2^2165000 is an apocalyptic number.

2165000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542155).

2165000 is an abundant number, since it is smaller than the sum of its proper divisors (2919310).

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

2165000 is an equidigital number, since it uses as much as digits as its factorization.

2165000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 2165000 is about 1471.3938969562. The cubic root of 2165000 is about 129.3657468858.

The spelling of 2165000 in words is "two million, one hundred sixty-five thousand".