205085307 has 8 divisors (see below), whose sum is σ = 312510976. Its totient is φ = 117191592.

The previous prime is 205085219. The next prime is 205085311. The reversal of 205085307 is 703580502.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 205085307 - 2¹⁰ = 205084283 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205085317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4882963 + ... + 4883004.

It is an arithmetic number, because the mean of its divisors is an integer number (39063872).

Almost surely, 2^205085307 is an apocalyptic number.

205085307 is a deficient number, since it is larger than the sum of its proper divisors (107425669).

205085307 is an equidigital number, since it uses as much as digits as its factorization.

205085307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9765977.

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 205085307 is about 14320.7998030836. The cubic root of 205085307 is about 589.7186315183.

The spelling of 205085307 in words is "two hundred five million, eighty-five thousand, three hundred seven".