2198205 has 32 divisors (see below), whose sum is σ = 4118400. Its totient is φ = 1109376.

The previous prime is 2198201. The next prime is 2198227. The reversal of 2198205 is 5028912.

2198205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2198205 - 2² = 2198201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2137 + ... + 2993.

It is an arithmetic number, because the mean of its divisors is an integer number (128700).

2^2198205 is an apocalyptic number.

It is an amenable number.

2198205 is a deficient number, since it is larger than the sum of its proper divisors (1920195).

2198205 is a wasteful number, since it uses less digits than its factorization.

2198205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2198205 is about 1482.6344795667. The cubic root of 2198205 is about 130.0237629145.

The spelling of 2198205 in words is "two million, one hundred ninety-eight thousand, two hundred five".