398129 has 2 divisors, whose sum is σ = 398130. Its totient is φ = 398128.

The previous prime is 398119. The next prime is 398143. The reversal of 398129 is 921893.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 388129 + 10000 = 623^2 + 100^2 .

It is a cyclic number.

It is not a de Polignac number, because 398129 - 2⁴ = 398113 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 398095 and 398104.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 398129.

It is not a weakly prime, because it can be changed into another prime (398119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 199064 + 199065.

It is an arithmetic number, because the mean of its divisors is an integer number (199065).

2³⁹⁸¹²⁹ is an apocalyptic number.

It is an amenable number.

398129 is a deficient number, since it is larger than the sum of its proper divisors (1).

398129 is an equidigital number, since it uses as much as digits as its factorization.

398129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3888, while the sum is 32.

The square root of 398129 is about 630.9746429136. The cubic root of 398129 is about 73.5655700060.

Adding to 398129 its sum of digits (32), we get a square (398161 = 631²).

The spelling of 398129 in words is "three hundred ninety-eight thousand, one hundred twenty-nine".