828306 has 20 divisors (see below), whose sum is σ = 1856382. Its totient is φ = 276048.

The previous prime is 828277. The next prime is 828349. The reversal of 828306 is 603828.

It can be written as a sum of positive squares in only one way, i.e., 826281 + 2025 = 909^2 + 45^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 828306.

It is an unprimeable number.

828306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2395 + ... + 2718.

2⁸²⁸³⁰⁶ is an apocalyptic number.

828306 is an abundant number, since it is smaller than the sum of its proper divisors (1028076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

828306 is a wasteful number, since it uses less digits than its factorization.

828306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5127 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 828306 is about 910.1131797749. The cubic root of 828306 is about 93.9139849946.

The spelling of 828306 in words is "eight hundred twenty-eight thousand, three hundred six".