828216 has 24 divisors (see below), whose sum is σ = 2243280. Its totient is φ = 276048.

The previous prime is 828209. The next prime is 828221. The reversal of 828216 is 612828.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 828216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5680 + ... + 5823.

It is an arithmetic number, because the mean of its divisors is an integer number (93470).

2⁸²⁸²¹⁶ is an apocalyptic number.

It is an amenable number.

828216 is an abundant number, since it is smaller than the sum of its proper divisors (1415064).

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

828216 is a wasteful number, since it uses less digits than its factorization.

828216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11515 (or 11508 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 828216 is about 910.0637340319. The cubic root of 828216 is about 93.9105834478.

It can be divided in two parts, 8 and 28216, that added together give a square (28224 = 168²).

The spelling of 828216 in words is "eight hundred twenty-eight thousand, two hundred sixteen".