828257 has 8 divisors (see below), whose sum is σ = 889056. Its totient is φ = 768832.

The previous prime is 828239. The next prime is 828277. The reversal of 828257 is 752828.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 828257 - 2¹⁶ = 762721 is a prime.

It is a Duffinian 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 7 ways as a sum of consecutive naturals, for example, 1118 + ... + 1704.

It is an arithmetic number, because the mean of its divisors is an integer number (111132).

2⁸²⁸²⁵⁷ is an apocalyptic number.

It is an amenable number.

828257 is a deficient number, since it is larger than the sum of its proper divisors (60799).

828257 is a wasteful number, since it uses less digits than its factorization.

828257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687.

The product of its digits is 8960, while the sum is 32.

The square root of 828257 is about 910.0862596480. The cubic root of 828257 is about 93.9121330719.

The spelling of 828257 in words is "eight hundred twenty-eight thousand, two hundred fifty-seven".