198401 has 6 divisors (see below), whose sum is σ = 230850. Its totient is φ = 170016.

The previous prime is 198397. The next prime is 198409. The reversal of 198401 is 104891.

198401 = T₈ + T₉ + ... + T₁₀₅.

It can be written as a sum of positive squares in only one way, i.e., 148225 + 50176 = 385^2 + 224^2 .

It is not a de Polignac number, because 198401 - 2² = 198397 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198401.

It is not an unprimeable number, because it can be changed into a prime (198409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1976 + ... + 2073.

It is an arithmetic number, because the mean of its divisors is an integer number (38475).

2¹⁹⁸⁴⁰¹ is an apocalyptic number.

It is an amenable number.

198401 is a deficient number, since it is larger than the sum of its proper divisors (32449).

198401 is an equidigital number, since it uses as much as digits as its factorization.

198401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4063 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 198401 is about 445.4222715581. The cubic root of 198401 is about 58.3240874235.

The spelling of 198401 in words is "one hundred ninety-eight thousand, four hundred one".