205136567 has 2 divisors, whose sum is σ = 205136568. Its totient is φ = 205136566.

The previous prime is 205136443. The next prime is 205136587. The reversal of 205136567 is 765631502.

205136567 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 205136567 - 2¹⁴ = 205120183 is a prime.

It is a super-2 number, since 2×205136567² = 84162022241090978, which contains 22 as substring.

It is equal to p_11347487 and since 205136567 and 11347487 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205136587) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102568283 + 102568284.

It is an arithmetic number, because the mean of its divisors is an integer number (102568284).

Almost surely, 2^205136567 is an apocalyptic number.

205136567 is a deficient number, since it is larger than the sum of its proper divisors (1).

205136567 is an equidigital number, since it uses as much as digits as its factorization.

205136567 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 205136567 is about 14322.5893957762. The cubic root of 205136567 is about 589.7677597881.

The spelling of 205136567 in words is "two hundred five million, one hundred thirty-six thousand, five hundred sixty-seven".