398005101 has 12 divisors (see below), whose sum is σ = 619119228. Its totient is φ = 244926144.

The previous prime is 398005099. The next prime is 398005109. The reversal of 398005101 is 101500893.

It can be written as a sum of positive squares in 2 ways, for example, as 58155876 + 339849225 = 7626^2 + 18435^2 .

It is not a de Polignac number, because 398005101 - 2¹ = 398005099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398005109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1700760 + ... + 1700993.

It is an arithmetic number, because the mean of its divisors is an integer number (51593269).

Almost surely, 2^398005101 is an apocalyptic number.

It is an amenable number.

398005101 is a deficient number, since it is larger than the sum of its proper divisors (221114127).

398005101 is a wasteful number, since it uses less digits than its factorization.

398005101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401772 (or 3401769 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 398005101 is about 19950.0651878634. The cubic root of 398005101 is about 735.5793793513.

Adding to 398005101 its reverse (101500893), we get a palindrome (499505994).

The spelling of 398005101 in words is "three hundred ninety-eight million, five thousand, one hundred one".