205905753 has 8 divisors (see below), whose sum is σ = 305045600. Its totient is φ = 137270484.

The previous prime is 205905727. The next prime is 205905757. The reversal of 205905753 is 357509502.

It is not a de Polignac number, because 205905753 - 2¹⁸ = 205643609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205905757) 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, 3813043 + ... + 3813096.

It is an arithmetic number, because the mean of its divisors is an integer number (38130700).

Almost surely, 2^205905753 is an apocalyptic number.

It is an amenable number.

205905753 is a deficient number, since it is larger than the sum of its proper divisors (99139847).

205905753 is an equidigital number, since it uses as much as digits as its factorization.

205905753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7626148 (or 7626142 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 205905753 is about 14349.4164689718. The cubic root of 205905753 is about 590.5039771182.

The spelling of 205905753 in words is "two hundred five million, nine hundred five thousand, seven hundred fifty-three".