205764967 has 2 divisors, whose sum is σ = 205764968. Its totient is φ = 205764966.

The previous prime is 205764961. The next prime is 205764983. The reversal of 205764967 is 769467502.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205764967 is a prime.

It is a super-2 number, since 2×205764967² = 84678443289022178, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205764961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102882483 + 102882484.

It is an arithmetic number, because the mean of its divisors is an integer number (102882484).

Almost surely, 2^205764967 is an apocalyptic number.

205764967 is a deficient number, since it is larger than the sum of its proper divisors (1).

205764967 is an equidigital number, since it uses as much as digits as its factorization.

205764967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 635040, while the sum is 46.

The square root of 205764967 is about 14344.5099951166. The cubic root of 205764967 is about 590.3693627029.

The spelling of 205764967 in words is "two hundred five million, seven hundred sixty-four thousand, nine hundred sixty-seven".