828541 has 12 divisors (see below), whose sum is σ = 992028. Its totient is φ = 689472.

The previous prime is 828523. The next prime is 828547. The reversal of 828541 is 145828.

It can be written as a sum of positive squares in 2 ways, for example, as 729316 + 99225 = 854^2 + 315^2 .

It is not a de Polignac number, because 828541 - 2⁹ = 828029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828547) 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 11 ways as a sum of consecutive naturals, for example, 1585 + ... + 2041.

It is an arithmetic number, because the mean of its divisors is an integer number (82669).

2⁸²⁸⁵⁴¹ is an apocalyptic number.

It is an amenable number.

828541 is a deficient number, since it is larger than the sum of its proper divisors (163487).

828541 is a wasteful number, since it uses less digits than its factorization.

828541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 501 counting only the distinct ones).

The product of its digits is 2560, while the sum is 28.

The square root of 828541 is about 910.2422754410. The cubic root of 828541 is about 93.9228656497.

It can be divided in two parts, 828 and 541, that added together give a square (1369 = 37²).

The spelling of 828541 in words is "eight hundred twenty-eight thousand, five hundred forty-one".