398564 has 12 divisors (see below), whose sum is σ = 716604. Its totient is φ = 193824.

The previous prime is 398557. The next prime is 398569. The reversal of 398564 is 465893.

It can be written as a sum of positive squares in 2 ways, for example, as 270400 + 128164 = 520^2 + 358^2 .

It is not an unprimeable number, because it can be changed into a prime (398569) by changing a digit.

398564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1199 + ... + 1494.

It is an arithmetic number, because the mean of its divisors is an integer number (59717).

2³⁹⁸⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

398564 is a deficient number, since it is larger than the sum of its proper divisors (318040).

398564 is a wasteful number, since it uses less digits than its factorization.

398564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2732 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 398564 is about 631.3192536269. The cubic root of 398564 is about 73.5923530965.

The spelling of 398564 in words is "three hundred ninety-eight thousand, five hundred sixty-four".