829321 has 4 divisors (see below), whose sum is σ = 833812. Its totient is φ = 824832.

The previous prime is 829319. The next prime is 829349. The reversal of 829321 is 123928.

829321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 318096 + 511225 = 564^2 + 715^2 .

It is a cyclic number.

It is not a de Polignac number, because 829321 - 2¹ = 829319 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 829321.

It is not an unprimeable number, because it can be changed into a prime (829121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1956 + ... + 2341.

It is an arithmetic number, because the mean of its divisors is an integer number (208453).

2⁸²⁹³²¹ is an apocalyptic number.

It is an amenable number.

829321 is a deficient number, since it is larger than the sum of its proper divisors (4491).

829321 is a wasteful number, since it uses less digits than its factorization.

829321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4490.

The product of its digits is 864, while the sum is 25.

The square root of 829321 is about 910.6706320070. The cubic root of 829321 is about 93.9523298355.

The spelling of 829321 in words is "eight hundred twenty-nine thousand, three hundred twenty-one".