398813 has 2 divisors, whose sum is σ = 398814. Its totient is φ = 398812.

The previous prime is 398771. The next prime is 398819. The reversal of 398813 is 318893.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 357604 + 41209 = 598^2 + 203^2 .

It is a cyclic number.

It is not a de Polignac number, because 398813 - 2⁸ = 398557 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 398813.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (398819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 199406 + 199407.

It is an arithmetic number, because the mean of its divisors is an integer number (199407).

2³⁹⁸⁸¹³ is an apocalyptic number.

It is an amenable number.

398813 is a deficient number, since it is larger than the sum of its proper divisors (1).

398813 is an equidigital number, since it uses as much as digits as its factorization.

398813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 32.

The square root of 398813 is about 631.5164289233. The cubic root of 398813 is about 73.6076753377.

The spelling of 398813 in words is "three hundred ninety-eight thousand, eight hundred thirteen".