205732131 has 16 divisors (see below), whose sum is σ = 299521920. Its totient is φ = 124571520.

The previous prime is 205732129. The next prime is 205732157. The reversal of 205732131 is 131237502.

It is not a de Polignac number, because 205732131 - 2¹ = 205732129 is a prime.

It is a super-2 number, since 2×205732131² = 84651419451602322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205732231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46011 + ... + 50283.

It is an arithmetic number, because the mean of its divisors is an integer number (18720120).

Almost surely, 2^205732131 is an apocalyptic number.

205732131 is a deficient number, since it is larger than the sum of its proper divisors (93789789).

205732131 is a wasteful number, since it uses less digits than its factorization.

205732131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5746.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 205732131 is about 14343.3654000726. The cubic root of 205732131 is about 590.3379572926.

Adding to 205732131 its reverse (131237502), we get a palindrome (336969633).

The spelling of 205732131 in words is "two hundred five million, seven hundred thirty-two thousand, one hundred thirty-one".