205459213 has 2 divisors, whose sum is σ = 205459214. Its totient is φ = 205459212.

The previous prime is 205459183. The next prime is 205459237. The reversal of 205459213 is 312954502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 191185929 + 14273284 = 13827^2 + 3778^2 .

It is a cyclic number.

It is not a de Polignac number, because 205459213 - 2¹⁷ = 205328141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205409213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102729606 + 102729607.

It is an arithmetic number, because the mean of its divisors is an integer number (102729607).

Almost surely, 2^205459213 is an apocalyptic number.

It is an amenable number.

205459213 is a deficient number, since it is larger than the sum of its proper divisors (1).

205459213 is an equidigital number, since it uses as much as digits as its factorization.

205459213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 205459213 is about 14333.8485062456. The cubic root of 205459213 is about 590.0768003060.

The spelling of 205459213 in words is "two hundred five million, four hundred fifty-nine thousand, two hundred thirteen".