205697873 has 2 divisors, whose sum is σ = 205697874. Its totient is φ = 205697872.

The previous prime is 205697831. The next prime is 205697881. The reversal of 205697873 is 378796502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203689984 + 2007889 = 14272^2 + 1417^2 .

It is a cyclic number.

It is not a de Polignac number, because 205697873 - 2¹⁰ = 205696849 is a prime.

It is a super-2 number, since 2×205697873² = 84623229913448258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (205697893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102848936 + 102848937.

It is an arithmetic number, because the mean of its divisors is an integer number (102848937).

Almost surely, 2^205697873 is an apocalyptic number.

It is an amenable number.

205697873 is a deficient number, since it is larger than the sum of its proper divisors (1).

205697873 is an equidigital number, since it uses as much as digits as its factorization.

205697873 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 635040, while the sum is 47.

The square root of 205697873 is about 14342.1711396845. The cubic root of 205697873 is about 590.3051882735.

The spelling of 205697873 in words is "two hundred five million, six hundred ninety-seven thousand, eight hundred seventy-three".