329729 has 2 divisors, whose sum is σ = 329730. Its totient is φ = 329728.

The previous prime is 329723. The next prime is 329761. The reversal of 329729 is 927923.

It is an a-pointer prime, because the next prime (329761) can be obtained adding 329729 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 313600 + 16129 = 560^2 + 127^2 .

It is a cyclic number.

It is not a de Polignac number, because 329729 - 2⁸ = 329473 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 329695 and 329704.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 329729.

It is not a weakly prime, because it can be changed into another prime (329723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164864 + 164865.

It is an arithmetic number, because the mean of its divisors is an integer number (164865).

It is a Proth number, since it is equal to 161 ⋅ 2¹¹ + 1 and 161 < 2¹¹.

2³²⁹⁷²⁹ is an apocalyptic number.

It is an amenable number.

329729 is a deficient number, since it is larger than the sum of its proper divisors (1).

329729 is an equidigital number, since it uses as much as digits as its factorization.

329729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6804, while the sum is 32.

The square root of 329729 is about 574.2203409842. The cubic root of 329729 is about 69.0853107086.

The spelling of 329729 in words is "three hundred twenty-nine thousand, seven hundred twenty-nine".