390389 has 2 divisors, whose sum is σ = 390390. Its totient is φ = 390388.

The previous prime is 390373. The next prime is 390391. The reversal of 390389 is 983093.

390389 is nontrivially palindromic in base 16.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209764 + 180625 = 458^2 + 425^2 .

It is a cyclic number.

It is not a de Polignac number, because 390389 - 2⁴ = 390373 is a prime.

Together with 390391, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (390359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 195194 + 195195.

It is an arithmetic number, because the mean of its divisors is an integer number (195195).

2³⁹⁰³⁸⁹ is an apocalyptic number.

It is an amenable number.

390389 is a deficient number, since it is larger than the sum of its proper divisors (1).

390389 is an equidigital number, since it uses as much as digits as its factorization.

390389 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 390389 is about 624.8111714750. The cubic root of 390389 is about 73.0857190350.

Subtracting 390389 from its reverse (983093), we obtain a cube (592704 = 84³).

The spelling of 390389 in words is "three hundred ninety thousand, three hundred eighty-nine".