329393 has 2 divisors, whose sum is σ = 329394. Its totient is φ = 329392.

The previous prime is 329387. The next prime is 329401. The reversal of 329393 is 393923.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 327184 + 2209 = 572^2 + 47^2 .

It is a cyclic number.

It is not a de Polignac number, because 329393 - 2¹⁴ = 313009 is a prime.

It is not a weakly prime, because it can be changed into another prime (329333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164696 + 164697.

It is an arithmetic number, because the mean of its divisors is an integer number (164697).

2³²⁹³⁹³ is an apocalyptic number.

It is an amenable number.

329393 is a deficient number, since it is larger than the sum of its proper divisors (1).

329393 is an equidigital number, since it uses as much as digits as its factorization.

329393 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4374, while the sum is 29.

The square root of 329393 is about 573.9276957945. The cubic root of 329393 is about 69.0618363265.

The spelling of 329393 in words is "three hundred twenty-nine thousand, three hundred ninety-three".