205137 has 12 divisors (see below), whose sum is σ = 309504. Its totient is φ = 130680.

The previous prime is 205133. The next prime is 205141. The reversal of 205137 is 731502.

It is an interprime number because it is at equal distance from previous prime (205133) and next prime (205141).

It is not a de Polignac number, because 205137 - 2² = 205133 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 289 + ... + 702.

It is an arithmetic number, because the mean of its divisors is an integer number (25792).

2²⁰⁵¹³⁷ is an apocalyptic number.

It is an amenable number.

205137 is a deficient number, since it is larger than the sum of its proper divisors (104367).

205137 is a wasteful number, since it uses less digits than its factorization.

205137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 205137 is about 452.9205228293. The cubic root of 205137 is about 58.9768174746.

Adding to 205137 its reverse (731502), we get a palindrome (936639).

The spelling of 205137 in words is "two hundred five thousand, one hundred thirty-seven".