398563 has 8 divisors (see below), whose sum is σ = 457920. Its totient is φ = 343080.

The previous prime is 398557. The next prime is 398569. The reversal of 398563 is 365893.

It is an interprime number because it is at equal distance from previous prime (398557) and next prime (398569).

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-398563 is a prime.

It is a Duffinian number.

398563 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (398569) 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, 745 + ... + 1162.

It is an arithmetic number, because the mean of its divisors is an integer number (57240).

2³⁹⁸⁵⁶³ is an apocalyptic number.

398563 is a deficient number, since it is larger than the sum of its proper divisors (59357).

398563 is a wasteful number, since it uses less digits than its factorization.

398563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937.

The product of its digits is 19440, while the sum is 34.

The square root of 398563 is about 631.3184616341. The cubic root of 398563 is about 73.5922915485.

It can be divided in two parts, 398 and 563, that added together give a square (961 = 31²).

The spelling of 398563 in words is "three hundred ninety-eight thousand, five hundred sixty-three".