828165 has 32 divisors (see below), whose sum is σ = 1483776. Its totient is φ = 391680.

The previous prime is 828133. The next prime is 828169. The reversal of 828165 is 561828.

It is not a de Polignac number, because 828165 - 2⁵ = 828133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5977 + ... + 6113.

It is an arithmetic number, because the mean of its divisors is an integer number (46368).

2⁸²⁸¹⁶⁵ is an apocalyptic number.

It is an amenable number.

828165 is a deficient number, since it is larger than the sum of its proper divisors (655611).

828165 is a wasteful number, since it uses less digits than its factorization.

828165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189.

The product of its digits is 3840, while the sum is 30.

The square root of 828165 is about 910.0357135849. The cubic root of 828165 is about 93.9086557953.

The spelling of 828165 in words is "eight hundred twenty-eight thousand, one hundred sixty-five".