398085 has 8 divisors (see below), whose sum is σ = 636960. Its totient is φ = 212304.

The previous prime is 398077. The next prime is 398087. The reversal of 398085 is 580893.

398085 = 195² + 196² + ... + 204².

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

It is not a de Polignac number, because 398085 - 2³ = 398077 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

398085 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 398085.

It is not an unprimeable number, because it can be changed into a prime (398087) 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 7 ways as a sum of consecutive naturals, for example, 13255 + ... + 13284.

It is an arithmetic number, because the mean of its divisors is an integer number (79620).

2³⁹⁸⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

398085 is a deficient number, since it is larger than the sum of its proper divisors (238875).

398085 is a wasteful number, since it uses less digits than its factorization.

398085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26547.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 398085 is about 630.9397752559. The cubic root of 398085 is about 73.5628598255.

The spelling of 398085 in words is "three hundred ninety-eight thousand, eighty-five".