828319 has 8 divisors (see below), whose sum is σ = 867008. Its totient is φ = 790560.

The previous prime is 828277. The next prime is 828349. The reversal of 828319 is 913828.

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

It is not a de Polignac number, because 828319 - 2¹¹ = 826271 is a prime.

It is a super-2 number, since 2×828319² = 1372224731522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828349) 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, 2074 + ... + 2440.

It is an arithmetic number, because the mean of its divisors is an integer number (108376).

2⁸²⁸³¹⁹ is an apocalyptic number.

828319 is a deficient number, since it is larger than the sum of its proper divisors (38689).

828319 is a wasteful number, since it uses less digits than its factorization.

828319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465.

The product of its digits is 3456, while the sum is 31.

The square root of 828319 is about 910.1203217158. The cubic root of 828319 is about 93.9144763088.

The spelling of 828319 in words is "eight hundred twenty-eight thousand, three hundred nineteen".