2165320 has 16 divisors (see below), whose sum is σ = 4872060. Its totient is φ = 866112.

The previous prime is 2165291. The next prime is 2165321. The reversal of 2165320 is 235612.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1758276 + 407044 = 1326^2 + 638^2 .

It is a super-2 number, since 2×2165320² = 9377221404800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2165321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27027 + ... + 27106.

2^2165320 is an apocalyptic number.

2165320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2165320 is an abundant number, since it is smaller than the sum of its proper divisors (2706740).

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

2165320 is a wasteful number, since it uses less digits than its factorization.

2165320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54144 (or 54140 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2165320 is about 1471.5026333650. The cubic root of 2165320 is about 129.3721202499.

It can be divided in two parts, 2165 and 320, that added together give a triangular number (2485 = T₇₀).

The spelling of 2165320 in words is "two million, one hundred sixty-five thousand, three hundred twenty".