838609 has 2 divisors, whose sum is σ = 838610. Its totient is φ = 838608.

The previous prime is 838601. The next prime is 838613. The reversal of 838609 is 906838.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 731025 + 107584 = 855^2 + 328^2 .

It is a cyclic number.

It is not a de Polignac number, because 838609 - 2³ = 838601 is a prime.

838609 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (838601) 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, 419304 + 419305.

It is an arithmetic number, because the mean of its divisors is an integer number (419305).

2⁸³⁸⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

838609 is a deficient number, since it is larger than the sum of its proper divisors (1).

838609 is an equidigital number, since it uses as much as digits as its factorization.

838609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 838609 is about 915.7559718615. The cubic root of 838609 is about 94.3017689876.

The spelling of 838609 in words is "eight hundred thirty-eight thousand, six hundred nine".