384193 has 2 divisors, whose sum is σ = 384194. Its totient is φ = 384192.

The previous prime is 384187. The next prime is 384203. The reversal of 384193 is 391483.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 242064 + 142129 = 492^2 + 377^2 .

It is a cyclic number.

It is not a de Polignac number, because 384193 - 2⁹ = 383681 is a prime.

It is a super-2 number, since 2×384193² = 295208522498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (384113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192096 + 192097.

It is an arithmetic number, because the mean of its divisors is an integer number (192097).

2³⁸⁴¹⁹³ is an apocalyptic number.

It is an amenable number.

384193 is a deficient number, since it is larger than the sum of its proper divisors (1).

384193 is an equidigital number, since it uses as much as digits as its factorization.

384193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2592, while the sum is 28.

The square root of 384193 is about 619.8330420363. The cubic root of 384193 is about 72.6969989055.

The spelling of 384193 in words is "three hundred eighty-four thousand, one hundred ninety-three".