329629 has 2 divisors, whose sum is σ = 329630. Its totient is φ = 329628.

The previous prime is 329627. The next prime is 329639. The reversal of 329629 is 926923.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 319225 + 10404 = 565^2 + 102^2 .

It is a cyclic number.

It is not a de Polignac number, because 329629 - 2¹ = 329627 is a prime.

Together with 329627, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 3¹¹ + 2⁹ + 6⁵ + 9⁴ + 2¹⁷ + 9⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 329629.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (329627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164814 + 164815.

It is an arithmetic number, because the mean of its divisors is an integer number (164815).

2³²⁹⁶²⁹ is an apocalyptic number.

It is an amenable number.

329629 is a deficient number, since it is larger than the sum of its proper divisors (1).

329629 is an equidigital number, since it uses as much as digits as its factorization.

329629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5832, while the sum is 31.

The square root of 329629 is about 574.1332597925. The cubic root of 329629 is about 69.0783259528.

The spelling of 329629 in words is "three hundred twenty-nine thousand, six hundred twenty-nine".