334289 has 2 divisors, whose sum is σ = 334290. Its totient is φ = 334288.

The previous prime is 334261. The next prime is 334297. The reversal of 334289 is 982433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180625 + 153664 = 425^2 + 392^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-334289 is a prime.

It is a super-2 number, since 2×334289² = 223498271042, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 3⁹ + 3⁹ + 2 + 4⁹ + 8⁵ + 9 .

It is a Curzon number.

It is equal to p₂₈₇₃₉ and since 334289 and 28739 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (334189) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167144 + 167145.

It is an arithmetic number, because the mean of its divisors is an integer number (167145).

2³³⁴²⁸⁹ is an apocalyptic number.

It is an amenable number.

334289 is a deficient number, since it is larger than the sum of its proper divisors (1).

334289 is an equidigital number, since it uses as much as digits as its factorization.

334289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 29.

The square root of 334289 is about 578.1773084444. The cubic root of 334289 is about 69.4023264369.

The spelling of 334289 in words is "three hundred thirty-four thousand, two hundred eighty-nine".