828297 has 6 divisors (see below), whose sum is σ = 1196442. Its totient is φ = 552192.

The previous prime is 828277. The next prime is 828349. The reversal of 828297 is 792828.

It can be written as a sum of positive squares in only one way, i.e., 423801 + 404496 = 651^2 + 636^2 .

It is not a de Polignac number, because 828297 - 2⁷ = 828169 is a prime.

828297 is a lucky number.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46008 + ... + 46025.

It is an arithmetic number, because the mean of its divisors is an integer number (199407).

2⁸²⁸²⁹⁷ is an apocalyptic number.

It is an amenable number.

828297 is a deficient number, since it is larger than the sum of its proper divisors (368145).

828297 is a wasteful number, since it uses less digits than its factorization.

828297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92039 (or 92036 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 828297 is about 910.1082353215. The cubic root of 828297 is about 93.9136448510.

The spelling of 828297 in words is "eight hundred twenty-eight thousand, two hundred ninety-seven".