398131201 has 8 divisors (see below), whose sum is σ = 435786344. Its totient is φ = 361480320.

The previous prime is 398131189. The next prime is 398131229. The reversal of 398131201 is 102131893.

It can be written as a sum of positive squares in 4 ways, for example, as 6051600 + 392079601 = 2460^2 + 19801^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 398131201 - 2¹⁵ = 398098433 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 398131201.

It is not an unprimeable number, because it can be changed into a prime (398131231) 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 in 7 ways as a sum of consecutive naturals, for example, 250236 + ... + 251821.

It is an arithmetic number, because the mean of its divisors is an integer number (54473293).

It is a Proth number, since it is equal to 6075 ⋅ 2¹⁶ + 1 and 6075 < 2¹⁶.

Almost surely, 2^398131201 is an apocalyptic number.

It is an amenable number.

398131201 is a deficient number, since it is larger than the sum of its proper divisors (37655143).

398131201 is a wasteful number, since it uses less digits than its factorization.

398131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502131.

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 398131201 is about 19953.2253282521. The cubic root of 398131201 is about 735.6570557137.

It can be divided in two parts, 39813 and 1201, that added together give a palindrome (41014).

The spelling of 398131201 in words is "three hundred ninety-eight million, one hundred thirty-one thousand, two hundred one".