348309 has 18 divisors (see below), whose sum is σ = 547170. Its totient is φ = 213408.

The previous prime is 348307. The next prime is 348323. The reversal of 348309 is 903843.

348309 = 103² + 104² + ... + 128².

It can be written as a sum of positive squares in 3 ways, for example, as 23409 + 324900 = 153^2 + 570^2 .

It is not a de Polignac number, because 348309 - 2¹ = 348307 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348307) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1407 + ... + 1635.

2³⁴⁸³⁰⁹ is an apocalyptic number.

348309 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

348309 is a deficient number, since it is larger than the sum of its proper divisors (198861).

348309 is a wasteful number, since it uses less digits than its factorization.

348309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 348309 is about 590.1770920664. The cubic root of 348309 is about 70.3593089792.

The spelling of 348309 in words is "three hundred forty-eight thousand, three hundred nine".