398223 has 32 divisors (see below), whose sum is σ = 704000. Its totient is φ = 222264.

The previous prime is 398219. The next prime is 398227. The reversal of 398223 is 322893.

It is an interprime number because it is at equal distance from previous prime (398219) and next prime (398227).

It is not a de Polignac number, because 398223 - 2² = 398219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

398223 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 398223.

It is not an unprimeable number, because it can be changed into a prime (398227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9240 + ... + 9282.

It is an arithmetic number, because the mean of its divisors is an integer number (22000).

2³⁹⁸²²³ is an apocalyptic number.

398223 is a deficient number, since it is larger than the sum of its proper divisors (305777).

398223 is an equidigital number, since it uses as much as digits as its factorization.

398223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 398223 is about 631.0491264553. The cubic root of 398223 is about 73.5713592681.

It can be divided in two parts, 3982 and 23, that added together give a triangular number (4005 = T₈₉).

The spelling of 398223 in words is "three hundred ninety-eight thousand, two hundred twenty-three".