828501 has 16 divisors (see below), whose sum is σ = 1166400. Its totient is φ = 522368.

The previous prime is 828449. The next prime is 828517. The reversal of 828501 is 105828.

828501 = 49² + 50² + ... + 137².

It is a cyclic number.

It is not a de Polignac number, because 828501 - 2⁹ = 827989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828101) 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, 7690 + ... + 7796.

It is an arithmetic number, because the mean of its divisors is an integer number (72900).

2⁸²⁸⁵⁰¹ is an apocalyptic number.

It is an amenable number.

828501 is a deficient number, since it is larger than the sum of its proper divisors (337899).

828501 is a wasteful number, since it uses less digits than its factorization.

828501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228.

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 828501 is about 910.2203030036. The cubic root of 828501 is about 93.9213541674.

The spelling of 828501 in words is "eight hundred twenty-eight thousand, five hundred one".