393842401 has 2 divisors, whose sum is σ = 393842402. Its totient is φ = 393842400.

The previous prime is 393842389. The next prime is 393842411. The reversal of 393842401 is 104248393.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 334012176 + 59830225 = 18276^2 + 7735^2 .

It is an emirp because it is prime and its reverse (104248393) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 393842401 - 2⁵ = 393842369 is a prime.

It is a super-2 number, since 2×393842401² = 310223673650889602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (393842411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 196921200 + 196921201.

It is an arithmetic number, because the mean of its divisors is an integer number (196921201).

Almost surely, 2^393842401 is an apocalyptic number.

It is an amenable number.

393842401 is a deficient number, since it is larger than the sum of its proper divisors (1).

393842401 is an equidigital number, since it uses as much as digits as its factorization.

393842401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 393842401 is about 19845.4629827575. The cubic root of 393842401 is about 733.0059334440.

The spelling of 393842401 in words is "three hundred ninety-three million, eight hundred forty-two thousand, four hundred one".