205655953 has 32 divisors (see below), whose sum is σ = 236390400. Its totient is φ = 177914880.

The previous prime is 205655939. The next prime is 205656007. The reversal of 205655953 is 359556502.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 205655953 - 2⁹ = 205655441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205650953) 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, 1033348 + ... + 1033546.

It is an arithmetic number, because the mean of its divisors is an integer number (7387200).

Almost surely, 2^205655953 is an apocalyptic number.

It is an amenable number.

205655953 is a deficient number, since it is larger than the sum of its proper divisors (30734447).

205655953 is a wasteful number, since it uses less digits than its factorization.

205655953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337.

The product of its (nonzero) digits is 202500, while the sum is 40.

The square root of 205655953 is about 14340.7096407395. The cubic root of 205655953 is about 590.2650853232.

The spelling of 205655953 in words is "two hundred five million, six hundred fifty-five thousand, nine hundred fifty-three".