398361 has 16 divisors (see below), whose sum is σ = 575424. Its totient is φ = 244224.

The previous prime is 398357. The next prime is 398369. The reversal of 398361 is 163893.

398361 = 145² + 146² + ... + 161².

It is not a de Polignac number, because 398361 - 2² = 398357 is a prime.

398361 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (398369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3670 + ... + 3776.

It is an arithmetic number, because the mean of its divisors is an integer number (35964).

2³⁹⁸³⁶¹ is an apocalyptic number.

It is an amenable number.

398361 is a deficient number, since it is larger than the sum of its proper divisors (177063).

398361 is a wasteful number, since it uses less digits than its factorization.

398361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200.

The product of its digits is 3888, while the sum is 30.

The square root of 398361 is about 631.1584587091. The cubic root of 398361 is about 73.5798567474.

The spelling of 398361 in words is "three hundred ninety-eight thousand, three hundred sixty-one".