398349 has 12 divisors (see below), whose sum is σ = 657696. Its totient is φ = 227592.

The previous prime is 398347. The next prime is 398353. The reversal of 398349 is 943893.

It is not a de Polignac number, because 398349 - 2¹ = 398347 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398341) 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 11 ways as a sum of consecutive naturals, for example, 3099 + ... + 3224.

It is an arithmetic number, because the mean of its divisors is an integer number (54808).

2³⁹⁸³⁴⁹ is an apocalyptic number.

It is an amenable number.

398349 is a deficient number, since it is larger than the sum of its proper divisors (259347).

398349 is a wasteful number, since it uses less digits than its factorization.

398349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6336 (or 6333 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 398349 is about 631.1489523084. The cubic root of 398349 is about 73.5791179140.

It can be divided in two parts, 398 and 349, that added together give a palindrome (747).

The spelling of 398349 in words is "three hundred ninety-eight thousand, three hundred forty-nine".