393361 has 2 divisors, whose sum is σ = 393362. Its totient is φ = 393360.

The previous prime is 393331. The next prime is 393373. The reversal of 393361 is 163393.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 291600 + 101761 = 540^2 + 319^2 .

It is an emirp because it is prime and its reverse (163393) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 393361 - 2⁹ = 392849 is a prime.

393361 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (393301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 196680 + 196681.

It is an arithmetic number, because the mean of its divisors is an integer number (196681).

2³⁹³³⁶¹ is an apocalyptic number.

It is an amenable number.

393361 is a deficient number, since it is larger than the sum of its proper divisors (1).

393361 is an equidigital number, since it uses as much as digits as its factorization.

393361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1458, while the sum is 25.

The square root of 393361 is about 627.1849806875. The cubic root of 393361 is about 73.2707156015.

The spelling of 393361 in words is "three hundred ninety-three thousand, three hundred sixty-one".