329993 has 2 divisors, whose sum is σ = 329994. Its totient is φ = 329992.

The previous prime is 329977. The next prime is 329999. The reversal of 329993 is 399923.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 327184 + 2809 = 572^2 + 53^2 .

It is a cyclic number.

It is not a de Polignac number, because 329993 - 2⁴ = 329977 is a prime.

It is not a weakly prime, because it can be changed into another prime (329999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 164996 + 164997.

It is an arithmetic number, because the mean of its divisors is an integer number (164997).

2³²⁹⁹⁹³ is an apocalyptic number.

It is an amenable number.

329993 is a deficient number, since it is larger than the sum of its proper divisors (1).

329993 is an equidigital number, since it uses as much as digits as its factorization.

329993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13122, while the sum is 35.

The square root of 329993 is about 574.4501719035. The cubic root of 329993 is about 69.1037436809.

The spelling of 329993 in words is "three hundred twenty-nine thousand, nine hundred ninety-three".