398567 has 16 divisors (see below), whose sum is σ = 473088. Its totient is φ = 332640.

The previous prime is 398557. The next prime is 398569. The reversal of 398567 is 765893.

It is a cyclic number.

It is not a de Polignac number, because 398567 - 2⁸ = 398311 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 398567.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 9248 + ... + 9290.

It is an arithmetic number, because the mean of its divisors is an integer number (29568).

2³⁹⁸⁵⁶⁷ is an apocalyptic number.

398567 is a deficient number, since it is larger than the sum of its proper divisors (74521).

398567 is a wasteful number, since it uses less digits than its factorization.

398567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110.

The product of its digits is 45360, while the sum is 38.

The square root of 398567 is about 631.3216295994. The cubic root of 398567 is about 73.5925377398.

The spelling of 398567 in words is "three hundred ninety-eight thousand, five hundred sixty-seven".