205820461 has 16 divisors (see below), whose sum is σ = 257212800. Its totient is φ = 160001280.

The previous prime is 205820437. The next prime is 205820467. The reversal of 205820461 is 164028502.

It is a cyclic number.

It is not a de Polignac number, because 205820461 - 2⁷ = 205820333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205820467) 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 15 ways as a sum of consecutive naturals, for example, 32265 + ... + 38113.

It is an arithmetic number, because the mean of its divisors is an integer number (16075800).

Almost surely, 2^205820461 is an apocalyptic number.

It is an amenable number.

205820461 is a deficient number, since it is larger than the sum of its proper divisors (51392339).

205820461 is a wasteful number, since it uses less digits than its factorization.

205820461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6324.

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 205820461 is about 14346.4441935972. Note that the first 3 decimals coincide. The cubic root of 205820461 is about 590.4224313619.

Adding to 205820461 its reverse (164028502), we get a palindrome (369848963).

The spelling of 205820461 in words is "two hundred five million, eight hundred twenty thousand, four hundred sixty-one".