346385 has 12 divisors (see below), whose sum is σ = 453852. Its totient is φ = 252288.

The previous prime is 346373. The next prime is 346391. The reversal of 346385 is 583643.

346385 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 6 ways, for example, as 13456 + 332929 = 116^2 + 577^2 .

It is not a de Polignac number, because 346385 - 2⁴ = 346369 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4709 + ... + 4781.

It is an arithmetic number, because the mean of its divisors is an integer number (37821).

2³⁴⁶³⁸⁵ is an apocalyptic number.

It is an amenable number.

346385 is a deficient number, since it is larger than the sum of its proper divisors (107467).

346385 is an equidigital number, since it uses as much as digits as its factorization.

346385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 91 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 346385 is about 588.5448156258. The cubic root of 346385 is about 70.2295187314.

It can be divided in two parts, 34638 and 5, that added together give a palindrome (34643).

The spelling of 346385 in words is "three hundred forty-six thousand, three hundred eighty-five".