684329 has 2 divisors, whose sum is σ = 684330. Its totient is φ = 684328.

The previous prime is 684311. The next prime is 684337. The reversal of 684329 is 923486.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 683929 + 400 = 827^2 + 20^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-684329 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 684295 and 684304.

It is not a weakly prime, because it can be changed into another prime (684349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 342164 + 342165.

It is an arithmetic number, because the mean of its divisors is an integer number (342165).

2⁶⁸⁴³²⁹ is an apocalyptic number.

It is an amenable number.

684329 is a deficient number, since it is larger than the sum of its proper divisors (1).

684329 is an equidigital number, since it uses as much as digits as its factorization.

684329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 32.

The square root of 684329 is about 827.2418026188. The cubic root of 684329 is about 88.1228054716.

The spelling of 684329 in words is "six hundred eighty-four thousand, three hundred twenty-nine".