346309 has 2 divisors, whose sum is σ = 346310. Its totient is φ = 346308.

The previous prime is 346303. The next prime is 346321. The reversal of 346309 is 903643.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 297025 + 49284 = 545^2 + 222^2 .

It is a cyclic number.

It is not a de Polignac number, because 346309 - 2⁵ = 346277 is a prime.

It is a d-powerful number, because it can be written as 3³ + 4⁸ + 3⁶ + 6⁷ + 0 + 9² .

It is equal to p₂₉₆₈₀ and since 346309 and 29680 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (346303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 173154 + 173155.

It is an arithmetic number, because the mean of its divisors is an integer number (173155).

2³⁴⁶³⁰⁹ is an apocalyptic number.

It is an amenable number.

346309 is a deficient number, since it is larger than the sum of its proper divisors (1).

346309 is an equidigital number, since it uses as much as digits as its factorization.

346309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 346309 is about 588.4802460576. The cubic root of 346309 is about 70.2243820253.

The spelling of 346309 in words is "three hundred forty-six thousand, three hundred nine".