205824041 has 2 divisors, whose sum is σ = 205824042. Its totient is φ = 205824040.

The previous prime is 205824029. The next prime is 205824043. The reversal of 205824041 is 140428502.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 192654400 + 13169641 = 13880^2 + 3629^2 .

It is a cyclic number.

It is not a de Polignac number, because 205824041 - 2¹⁰ = 205823017 is a prime.

Together with 205824043, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205824041.

It is not a weakly prime, because it can be changed into another prime (205824043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102912020 + 102912021.

It is an arithmetic number, because the mean of its divisors is an integer number (102912021).

Almost surely, 2^205824041 is an apocalyptic number.

It is an amenable number.

205824041 is a deficient number, since it is larger than the sum of its proper divisors (1).

205824041 is an equidigital number, since it uses as much as digits as its factorization.

205824041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 205824041 is about 14346.5689626475. The cubic root of 205824041 is about 590.4258545720.

It can be divided in two parts, 2058 and 24041, that multiplied together give a triangular number (49476378 = T₉₉₄₇).

The spelling of 205824041 in words is "two hundred five million, eight hundred twenty-four thousand, forty-one".