828305 has 8 divisors (see below), whose sum is σ = 1046400. Its totient is φ = 627696.

The previous prime is 828277. The next prime is 828349. The reversal of 828305 is 503828.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 828305 - 2¹⁸ = 566161 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4265 + ... + 4454.

It is an arithmetic number, because the mean of its divisors is an integer number (130800).

2⁸²⁸³⁰⁵ is an apocalyptic number.

It is an amenable number.

828305 is a deficient number, since it is larger than the sum of its proper divisors (218095).

828305 is a wasteful number, since it uses less digits than its factorization.

828305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8743.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 828305 is about 910.1126303925. The cubic root of 828305 is about 93.9139472010.

The spelling of 828305 in words is "eight hundred twenty-eight thousand, three hundred five".