398193 has 8 divisors (see below), whose sum is σ = 533856. Its totient is φ = 264000.

The previous prime is 398171. The next prime is 398207. The reversal of 398193 is 391893.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 398193 - 2⁶ = 398129 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (398113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 793 + ... + 1193.

It is an arithmetic number, because the mean of its divisors is an integer number (66732).

2³⁹⁸¹⁹³ is an apocalyptic number.

It is an amenable number.

398193 is a deficient number, since it is larger than the sum of its proper divisors (135663).

398193 is a wasteful number, since it uses less digits than its factorization.

398193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735.

The product of its digits is 5832, while the sum is 33.

The square root of 398193 is about 631.0253560674. The cubic root of 398193 is about 73.5695117303.

The spelling of 398193 in words is "three hundred ninety-eight thousand, one hundred ninety-three".