2165632 has 32 divisors (see below), whose sum is σ = 4932720. Its totient is φ = 927744.

The previous prime is 2165617. The next prime is 2165651. The reversal of 2165632 is 2365612.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×2165632³ = 30470195094333947904, which contains 333 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2165597 and 2165606.

It is a congruent number.

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, 313 + ... + 2104.

2^2165632 is an apocalyptic number.

It is an amenable number.

2165632 is an abundant number, since it is smaller than the sum of its proper divisors (2767088).

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

2165632 is an equidigital number, since it uses as much as digits as its factorization.

2165632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2426 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 2165632 is about 1471.6086436278. The cubic root of 2165632 is about 129.3783336753.

The spelling of 2165632 in words is "two million, one hundred sixty-five thousand, six hundred thirty-two".