828287 has 4 divisors (see below), whose sum is σ = 836136. Its totient is φ = 820440.

The previous prime is 828277. The next prime is 828349. The reversal of 828287 is 782828.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 828287 - 2¹² = 824191 is a prime.

It is a super-3 number, since 3×828287³ = 1704762133356707709, which contains 333 as substring.

It is a d-powerful number, because it can be written as 8 + 2⁹ + 2¹² + 8² + 8² + 7⁷ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3764 + ... + 3977.

It is an arithmetic number, because the mean of its divisors is an integer number (209034).

2⁸²⁸²⁸⁷ is an apocalyptic number.

828287 is a deficient number, since it is larger than the sum of its proper divisors (7849).

828287 is a wasteful number, since it uses less digits than its factorization.

828287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7848.

The product of its digits is 14336, while the sum is 35.

The square root of 828287 is about 910.1027414529. The cubic root of 828287 is about 93.9132669108.

The spelling of 828287 in words is "eight hundred twenty-eight thousand, two hundred eighty-seven".