205114681 has 2 divisors, whose sum is σ = 205114682. Its totient is φ = 205114680.

The previous prime is 205114603. The next prime is 205114697. The reversal of 205114681 is 186411502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203319081 + 1795600 = 14259^2 + 1340^2 .

It is a cyclic number.

It is not a de Polignac number, because 205114681 - 2¹⁵ = 205081913 is a prime.

It is a super-2 number, since 2×205114681² = 84144064723463522, which contains 22 as substring.

It is a Chen prime.

It is equal to p_11346409 and since 205114681 and 11346409 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 (205114381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102557340 + 102557341.

It is an arithmetic number, because the mean of its divisors is an integer number (102557341).

Almost surely, 2^205114681 is an apocalyptic number.

It is an amenable number.

205114681 is a deficient number, since it is larger than the sum of its proper divisors (1).

205114681 is an equidigital number, since it uses as much as digits as its factorization.

205114681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 205114681 is about 14321.8253375748. The cubic root of 205114681 is about 589.7467849542.

The spelling of 205114681 in words is "two hundred five million, one hundred fourteen thousand, six hundred eighty-one".