828153 has 24 divisors (see below), whose sum is σ = 1310400. Its totient is φ = 501984.

The previous prime is 828133. The next prime is 828169. The reversal of 828153 is 351828.

It is a happy number.

It is not a de Polignac number, because 828153 - 2¹⁰ = 827129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (828133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4876 + ... + 5042.

It is an arithmetic number, because the mean of its divisors is an integer number (54600).

2⁸²⁸¹⁵³ is an apocalyptic number.

It is an amenable number.

828153 is a deficient number, since it is larger than the sum of its proper divisors (482247).

828153 is a wasteful number, since it uses less digits than its factorization.

828153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 218 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 828153 is about 910.0291204132. The cubic root of 828153 is about 93.9082022185.

The spelling of 828153 in words is "eight hundred twenty-eight thousand, one hundred fifty-three".