820284 has 24 divisors (see below), whose sum is σ = 2027088. Its totient is φ = 257280.

The previous prime is 820279. The next prime is 820319. The reversal of 820284 is 482028.

It is a nialpdrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 820284.

It is an unprimeable number.

820284 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 7 ways as a sum of consecutive naturals, for example, 1807 + ... + 2214.

It is an arithmetic number, because the mean of its divisors is an integer number (84462).

2⁸²⁰²⁸⁴ is an apocalyptic number.

It is an amenable number.

820284 is an abundant number, since it is smaller than the sum of its proper divisors (1206804).

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

820284 is a wasteful number, since it uses less digits than its factorization.

820284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 820284 is about 905.6953130054. The cubic root of 820284 is about 93.6098207242.

The spelling of 820284 in words is "eight hundred twenty thousand, two hundred eighty-four".