205888641 has 24 divisors (see below), whose sum is σ = 321053184. Its totient is φ = 117018720.

The previous prime is 205888597. The next prime is 205888643. The reversal of 205888641 is 146888502.

It is not a de Polignac number, because 205888641 - 2¹⁹ = 205364353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205888593 and 205888602.

It is not an unprimeable number, because it can be changed into a prime (205888643) 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 23 ways as a sum of consecutive naturals, for example, 24411 + ... + 31743.

It is an arithmetic number, because the mean of its divisors is an integer number (13377216).

Almost surely, 2^205888641 is an apocalyptic number.

205888641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

205888641 is a deficient number, since it is larger than the sum of its proper divisors (115164543).

205888641 is a wasteful number, since it uses less digits than its factorization.

205888641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7541 (or 7534 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 205888641 is about 14348.8201954028. The cubic root of 205888641 is about 590.4876185272.

The spelling of 205888641 in words is "two hundred five million, eight hundred eighty-eight thousand, six hundred forty-one".