398643 has 16 divisors (see below), whose sum is σ = 623616. Its totient is φ = 221760.

The previous prime is 398627. The next prime is 398669. The reversal of 398643 is 346893.

It is not a de Polignac number, because 398643 - 2⁴ = 398627 is a prime.

It is a d-powerful number, because it can be written as 3¹⁰ + 9² + 6⁷ + 8³ + 4² + 3¹⁰ .

It is not an unprimeable number, because it can be changed into a prime (398683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630 + ... + 1092.

It is an arithmetic number, because the mean of its divisors is an integer number (38976).

398643 is a Friedman number, since it can be written as ((83+9^6)*3)/4, using all its digits and the basic arithmetic operations.

2³⁹⁸⁶⁴³ is an apocalyptic number.

398643 is a deficient number, since it is larger than the sum of its proper divisors (224973).

398643 is a wasteful number, since it uses less digits than its factorization.

398643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514.

The product of its digits is 15552, while the sum is 33.

The square root of 398643 is about 631.3818179200. The cubic root of 398643 is about 73.5972150608.

The spelling of 398643 in words is "three hundred ninety-eight thousand, six hundred forty-three".