198515205 has 96 divisors (see below), whose sum is σ = 432117504. Its totient is φ = 85349376.

The previous prime is 198515203. The next prime is 198515243. The reversal of 198515205 is 502515891.

It is a happy number.

It is not a de Polignac number, because 198515205 - 2¹ = 198515203 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 198515205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198515203) 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 95 ways as a sum of consecutive naturals, for example, 143899 + ... + 145271.

It is an arithmetic number, because the mean of its divisors is an integer number (4501224).

Almost surely, 2^198515205 is an apocalyptic number.

198515205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

198515205 is an abundant number, since it is smaller than the sum of its proper divisors (233602299).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198515205 is a wasteful number, since it uses less digits than its factorization.

198515205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The square root of 198515205 is about 14089.5423985309. The cubic root of 198515205 is about 583.3527625275.

The spelling of 198515205 in words is "one hundred ninety-eight million, five hundred fifteen thousand, two hundred five".