198288961 has 8 divisors (see below), whose sum is σ = 213843560. Its totient is φ = 182777472.

The previous prime is 198288931. The next prime is 198288977. The reversal of 198288961 is 169882891.

It can be written as a sum of positive squares in 4 ways, for example, as 28143025 + 170145936 = 5305^2 + 13044^2 .

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 198288961 - 2⁵ = 198288929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 198288899 and 198288908.

It is not an unprimeable number, because it can be changed into a prime (198288931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 876 + ... + 19933.

It is an arithmetic number, because the mean of its divisors is an integer number (26730445).

Almost surely, 2^198288961 is an apocalyptic number.

It is an amenable number.

198288961 is a deficient number, since it is larger than the sum of its proper divisors (15554599).

198288961 is a wasteful number, since it uses less digits than its factorization.

198288961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21555.

The product of its digits is 497664, while the sum is 52.

The square root of 198288961 is about 14081.5113180369. The cubic root of 198288961 is about 583.1310662724.

The spelling of 198288961 in words is "one hundred ninety-eight million, two hundred eighty-eight thousand, nine hundred sixty-one".