2165832 has 64 divisors (see below), whose sum is σ = 6201600. Its totient is φ = 699840.

The previous prime is 2165819. The next prime is 2165843. The reversal of 2165832 is 2385612.

2165832 is a `hidden beast` number, since 2 + 1 + 658 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 2165796 and 2165805.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7857 + ... + 8127.

It is an arithmetic number, because the mean of its divisors is an integer number (96900).

2^2165832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2165832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100800).

2165832 is an abundant number, since it is smaller than the sum of its proper divisors (4035768).

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

2165832 is a wasteful number, since it uses less digits than its factorization.

2165832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2165832 is about 1471.6765949080. The cubic root of 2165832 is about 129.3823163264.

It can be divided in two parts, 216 and 5832, that multiplied together give a cube (1259712 = 108³).

The spelling of 2165832 in words is "two million, one hundred sixty-five thousand, eight hundred thirty-two".