198138417 has 32 divisors (see below), whose sum is σ = 288313344. Its totient is φ = 120556800.

The previous prime is 198138407. The next prime is 198138419. The reversal of 198138417 is 714831891.

It is not a de Polignac number, because 198138417 - 2⁴ = 198138401 is a prime.

It is a super-3 number, since 3×198138417³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (198138419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313692 + ... + 314322.

It is an arithmetic number, because the mean of its divisors is an integer number (9009792).

Almost surely, 2^198138417 is an apocalyptic number.

198138417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

198138417 is a deficient number, since it is larger than the sum of its proper divisors (90174927).

198138417 is a wasteful number, since it uses less digits than its factorization.

198138417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829.

The product of its digits is 48384, while the sum is 42.

The square root of 198138417 is about 14076.1648541071. The cubic root of 198138417 is about 582.9834549135.

The spelling of 198138417 in words is "one hundred ninety-eight million, one hundred thirty-eight thousand, four hundred seventeen".