205654441 has 2 divisors, whose sum is σ = 205654442. Its totient is φ = 205654440.

The previous prime is 205654433. The next prime is 205654447. The reversal of 205654441 is 144456502.

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., 123298816 + 82355625 = 11104^2 + 9075^2 .

It is a cyclic number.

It is not a de Polignac number, because 205654441 - 2³ = 205654433 is a prime.

It is a Chen prime.

It is equal to p_11374591 and since 205654441 and 11374591 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (205654447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102827220 + 102827221.

It is an arithmetic number, because the mean of its divisors is an integer number (102827221).

Almost surely, 2^205654441 is an apocalyptic number.

It is an amenable number.

205654441 is a deficient number, since it is larger than the sum of its proper divisors (1).

205654441 is an equidigital number, since it uses as much as digits as its factorization.

205654441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 205654441 is about 14340.6569235862. The cubic root of 205654441 is about 590.2636387601.

The spelling of 205654441 in words is "two hundred five million, six hundred fifty-four thousand, four hundred forty-one".