393401 has 2 divisors, whose sum is σ = 393402. Its totient is φ = 393400.

The previous prime is 393383. The next prime is 393403. The reversal of 393401 is 104393.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 249001 + 144400 = 499^2 + 380^2 .

It is an emirp because it is prime and its reverse (104393) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-393401 is a prime.

It is a Sophie Germain prime.

Together with 393403, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (393403) 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, 196700 + 196701.

It is an arithmetic number, because the mean of its divisors is an integer number (196701).

2³⁹³⁴⁰¹ is an apocalyptic number.

393401 is the 281-st centered decagonal number.

It is an amenable number.

393401 is a deficient number, since it is larger than the sum of its proper divisors (1).

393401 is an equidigital number, since it uses as much as digits as its factorization.

393401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 393401 is about 627.2168683956. The cubic root of 393401 is about 73.2731990957.

Adding to 393401 its reverse (104393), we get a palindrome (497794).

The spelling of 393401 in words is "three hundred ninety-three thousand, four hundred one".