205995137 has 10 divisors (see below), whose sum is σ = 221873058. Its totient is φ = 190591712.

The previous prime is 205995121. The next prime is 205995151. The reversal of 205995137 is 731599502.

It can be written as a sum of positive squares in only one way, i.e., 193877776 + 12117361 = 13924^2 + 3481^2 .

It is not a de Polignac number, because 205995137 - 2⁴ = 205995121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205995094 and 205995103.

It is not an unprimeable number, because it can be changed into a prime (205995187) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3491414 + ... + 3491472.

Almost surely, 2^205995137 is an apocalyptic number.

It is an amenable number.

205995137 is a deficient number, since it is larger than the sum of its proper divisors (15877921).

205995137 is an frugal number, since it uses more digits than its factorization.

205995137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 41.

The square root of 205995137 is about 14352.5306827751. The cubic root of 205995137 is about 590.5894109814.

The spelling of 205995137 in words is "two hundred five million, nine hundred ninety-five thousand, one hundred thirty-seven".