348257 has 16 divisors (see below), whose sum is σ = 443520. Its totient is φ = 266112.

The previous prime is 348253. The next prime is 348259. The reversal of 348257 is 752843.

It is a happy number.

It is not a de Polignac number, because 348257 - 2² = 348253 is a prime.

It is a d-powerful number, because it can be written as 3¹¹ + 4⁶ + 2¹⁷ + 8⁵ + 5⁵ + 7² .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 348257.

It is not an unprimeable number, because it can be changed into a prime (348253) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3869 + ... + 3957.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2³⁴⁸²⁵⁷ is an apocalyptic number.

It is an amenable number.

348257 is a deficient number, since it is larger than the sum of its proper divisors (95263).

348257 is a wasteful number, since it uses less digits than its factorization.

348257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152.

The product of its digits is 6720, while the sum is 29.

The square root of 348257 is about 590.1330358487. The cubic root of 348257 is about 70.3558074273.

The spelling of 348257 in words is "three hundred forty-eight thousand, two hundred fifty-seven".