828441 has 16 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 542160.

The previous prime is 828431. The next prime is 828449. The reversal of 828441 is 144828.

828441 = 14² + 15² + ... + 135².

It is not a de Polignac number, because 828441 - 2⁵ = 828409 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (828449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1396 + ... + 1898.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

2⁸²⁸⁴⁴¹ is an apocalyptic number.

It is an amenable number.

828441 is a deficient number, since it is larger than the sum of its proper divisors (421479).

828441 is a wasteful number, since it uses less digits than its factorization.

828441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 567 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 828441 is about 910.1873433530. The cubic root of 828441 is about 93.9190868528.

The spelling of 828441 in words is "eight hundred twenty-eight thousand, four hundred forty-one".