828289 has 16 divisors (see below), whose sum is σ = 1069056. Its totient is φ = 622800.

The previous prime is 828277. The next prime is 828349. The reversal of 828289 is 982828.

It is a cyclic number.

It is not a de Polignac number, because 828289 - 2¹⁷ = 697217 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2214 + ... + 2560.

It is an arithmetic number, because the mean of its divisors is an integer number (66816).

2⁸²⁸²⁸⁹ is an apocalyptic number.

It is an amenable number.

828289 is a deficient number, since it is larger than the sum of its proper divisors (240767).

828289 is a wasteful number, since it uses less digits than its factorization.

828289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396.

The product of its digits is 18432, while the sum is 37.

The square root of 828289 is about 910.1038402292. The cubic root of 828289 is about 93.9133424991.

The spelling of 828289 in words is "eight hundred twenty-eight thousand, two hundred eighty-nine".