384113 has 2 divisors, whose sum is σ = 384114. Its totient is φ = 384112.

The previous prime is 384107. The next prime is 384133. The reversal of 384113 is 311483.

It is a happy number.

It is an a-pointer prime, because the next prime (384133) can be obtained adding 384113 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 214369 + 169744 = 463^2 + 412^2 .

It is a cyclic number.

It is not a de Polignac number, because 384113 - 2⁶ = 384049 is a prime.

It is not a weakly prime, because it can be changed into another prime (384133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192056 + 192057.

It is an arithmetic number, because the mean of its divisors is an integer number (192057).

2³⁸⁴¹¹³ is an apocalyptic number.

It is an amenable number.

384113 is a deficient number, since it is larger than the sum of its proper divisors (1).

384113 is an equidigital number, since it uses as much as digits as its factorization.

384113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 20.

The square root of 384113 is about 619.7685051695. The cubic root of 384113 is about 72.6919526886.

Adding to 384113 its reverse (311483), we get a palindrome (695596).

The spelling of 384113 in words is "three hundred eighty-four thousand, one hundred thirteen".