346369 has 2 divisors, whose sum is σ = 346370. Its totient is φ = 346368.

The previous prime is 346361. The next prime is 346373. The reversal of 346369 is 963643.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 345744 + 625 = 588^2 + 25^2 .

It is an emirp because it is prime and its reverse (963643) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 346369 - 2³ = 346361 is a prime.

It is a super-2 number, since 2×346369² = 239942968322, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁴ + 4 + 3⁹ + 6⁶ + 6⁷ + 9 .

It is equal to p₂₉₆₈₆ and since 346369 and 29686 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 346369.

It is not a weakly prime, because it can be changed into another prime (346361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 173184 + 173185.

It is an arithmetic number, because the mean of its divisors is an integer number (173185).

2³⁴⁶³⁶⁹ is an apocalyptic number.

It is an amenable number.

346369 is a deficient number, since it is larger than the sum of its proper divisors (1).

346369 is an equidigital number, since it uses as much as digits as its factorization.

346369 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11664, while the sum is 31.

The square root of 346369 is about 588.5312226212. The cubic root of 346369 is about 70.2284373820.

The spelling of 346369 in words is "three hundred forty-six thousand, three hundred sixty-nine".