205872241 has 4 divisors (see below), whose sum is σ = 214823232. Its totient is φ = 196921252.

The previous prime is 205872221. The next prime is 205872253. The reversal of 205872241 is 142278502.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 142278502 = 2 ⋅71139251.

It is a cyclic number.

It is not a de Polignac number, because 205872241 - 2⁷ = 205872113 is a prime.

It is a super-2 number, since 2×205872241² = 84766759228724162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205872211) 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 3 ways as a sum of consecutive naturals, for example, 4475461 + ... + 4475506.

It is an arithmetic number, because the mean of its divisors is an integer number (53705808).

Almost surely, 2^205872241 is an apocalyptic number.

It is an amenable number.

205872241 is a deficient number, since it is larger than the sum of its proper divisors (8950991).

205872241 is an equidigital number, since it uses as much as digits as its factorization.

205872241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8950990.

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 205872241 is about 14348.2487084661. The cubic root of 205872241 is about 590.4719397375.

The spelling of 205872241 in words is "two hundred five million, eight hundred seventy-two thousand, two hundred forty-one".