398205 has 12 divisors (see below), whose sum is σ = 690300. Its totient is φ = 212352.

The previous prime is 398171. The next prime is 398207. The reversal of 398205 is 502893.

It can be written as a sum of positive squares in 2 ways, for example, as 45369 + 352836 = 213^2 + 594^2 .

It is not a de Polignac number, because 398205 - 2⁷ = 398077 is a prime.

398205 is a lucky number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4380 + ... + 4469.

It is an arithmetic number, because the mean of its divisors is an integer number (57525).

2³⁹⁸²⁰⁵ is an apocalyptic number.

It is an amenable number.

398205 is a deficient number, since it is larger than the sum of its proper divisors (292095).

398205 is a wasteful number, since it uses less digits than its factorization.

398205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8860 (or 8857 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 398205 is about 631.0348643300. The cubic root of 398205 is about 73.5702507565.

The spelling of 398205 in words is "three hundred ninety-eight thousand, two hundred five".