320829 has 8 divisors (see below), whose sum is σ = 430560. Its totient is φ = 212496.

The previous prime is 320821. The next prime is 320833. The reversal of 320829 is 928023.

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

It is not a de Polignac number, because 320829 - 2³ = 320821 is a prime.

320829 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 320799 and 320808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320821) 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, 454 + ... + 920.

It is an arithmetic number, because the mean of its divisors is an integer number (53820).

2³²⁰⁸²⁹ is an apocalyptic number.

It is an amenable number.

320829 is a deficient number, since it is larger than the sum of its proper divisors (109731).

320829 is a wasteful number, since it uses less digits than its factorization.

320829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 320829 is about 566.4176904017. The cubic root of 320829 is about 68.4580523541.

The spelling of 320829 in words is "three hundred twenty thousand, eight hundred twenty-nine".