348401 has 2 divisors, whose sum is σ = 348402. Its totient is φ = 348400.

The previous prime is 348389. The next prime is 348407. The reversal of 348401 is 104843.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207025 + 141376 = 455^2 + 376^2 .

It is a cyclic number.

It is not a de Polignac number, because 348401 - 2¹⁸ = 86257 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 348401.

It is not a weakly prime, because it can be changed into another prime (348407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174200 + 174201.

It is an arithmetic number, because the mean of its divisors is an integer number (174201).

2³⁴⁸⁴⁰¹ is an apocalyptic number.

It is an amenable number.

348401 is a deficient number, since it is larger than the sum of its proper divisors (1).

348401 is an equidigital number, since it uses as much as digits as its factorization.

348401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 348401 is about 590.2550296270. The cubic root of 348401 is about 70.3655031790.

The spelling of 348401 in words is "three hundred forty-eight thousand, four hundred one".