205993098 has 48 divisors (see below), whose sum is σ = 483168960. Its totient is φ = 65044296.

The previous prime is 205993069. The next prime is 205993121. The reversal of 205993098 is 890399502.

205993098 is a `hidden beast` number, since 20 + 599 + 30 + 9 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14211 + ... + 24777.

It is an arithmetic number, because the mean of its divisors is an integer number (10066020).

Almost surely, 2^205993098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205993098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241584480).

205993098 is an abundant number, since it is smaller than the sum of its proper divisors (277175862).

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

205993098 is a wasteful number, since it uses less digits than its factorization.

205993098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10616 (or 10591 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 205993098 is about 14352.4596498301. The cubic root of 205993098 is about 590.5874623661.

The spelling of 205993098 in words is "two hundred five million, nine hundred ninety-three thousand, ninety-eight".