393929 has 2 divisors, whose sum is σ = 393930. Its totient is φ = 393928.

The previous prime is 393919. The next prime is 393931. The reversal of 393929 is 929393.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211600 + 182329 = 460^2 + 427^2 .

It is an emirp because it is prime and its reverse (929393) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-393929 is a prime.

Together with 393931, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (393919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 196964 + 196965.

It is an arithmetic number, because the mean of its divisors is an integer number (196965).

2³⁹³⁹²⁹ is an apocalyptic number.

It is an amenable number.

393929 is a deficient number, since it is larger than the sum of its proper divisors (1).

393929 is an equidigital number, since it uses as much as digits as its factorization.

393929 is an odious number, because the sum of its binary digits is odd.

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

The square root of 393929 is about 627.6376343082. The cubic root of 393929 is about 73.3059654534.

The spelling of 393929 in words is "three hundred ninety-three thousand, nine hundred twenty-nine".