831321 has 6 divisors (see below), whose sum is σ = 1200810. Its totient is φ = 554208.

The previous prime is 831301. The next prime is 831323. The reversal of 831321 is 123138.

It can be written as a sum of positive squares in only one way, i.e., 741321 + 90000 = 861^2 + 300^2 .

It is not a de Polignac number, because 831321 - 2¹¹ = 829273 is a prime.

It is a Curzon number.

831321 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 831294 and 831303.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 831321.

It is not an unprimeable number, because it can be changed into a prime (831323) 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, 46176 + ... + 46193.

It is an arithmetic number, because the mean of its divisors is an integer number (200135).

2⁸³¹³²¹ is an apocalyptic number.

It is an amenable number.

831321 is a deficient number, since it is larger than the sum of its proper divisors (369489).

831321 is a wasteful number, since it uses less digits than its factorization.

831321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92375 (or 92372 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 831321 is about 911.7680626124. The cubic root of 831321 is about 94.0277947080.

Adding to 831321 its reverse (123138), we get a palindrome (954459).

It can be divided in two parts, 8 and 31321, that added together give a square (31329 = 177²).

The spelling of 831321 in words is "eight hundred thirty-one thousand, three hundred twenty-one".