828331 has 8 divisors (see below), whose sum is σ = 960224. Its totient is φ = 699840.

The previous prime is 828277. The next prime is 828349. The reversal of 828331 is 133828.

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

It is a 7-Lehmer number, since φ(828331) divides (828331-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 828331 - 2¹¹ = 826283 is a prime.

It is a super-2 number, since 2×828331² = 1372264491122, which contains 22 as substring.

It is a Duffinian number.

828331 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 828296 and 828305.

It is not an unprimeable number, because it can be changed into a prime (828361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300 + ... + 1321.

It is an arithmetic number, because the mean of its divisors is an integer number (120028).

2⁸²⁸³³¹ is an apocalyptic number.

828331 is a deficient number, since it is larger than the sum of its proper divisors (131893).

828331 is a wasteful number, since it uses less digits than its factorization.

828331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701.

The product of its digits is 1152, while the sum is 25.

The square root of 828331 is about 910.1269142268. The cubic root of 828331 is about 93.9149298250.

The spelling of 828331 in words is "eight hundred twenty-eight thousand, three hundred thirty-one".