205840131 has 60 divisors (see below), whose sum is σ = 347480856. Its totient is φ = 108003840.

The previous prime is 205840099. The next prime is 205840153. The reversal of 205840131 is 131048502.

It is not a de Polignac number, because 205840131 - 2⁵ = 205840099 is a prime.

It is a super-2 number, since 2×205840131² = 84740319060194322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205840631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5020471 + ... + 5020511.

Almost surely, 2^205840131 is an apocalyptic number.

205840131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

205840131 is a deficient number, since it is larger than the sum of its proper divisors (141640725).

205840131 is an frugal number, since it uses more digits than its factorization.

205840131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 205840131 is about 14347.1297129426. The cubic root of 205840131 is about 590.4412394033.

Adding to 205840131 its reverse (131048502), we get a palindrome (336888633).

The spelling of 205840131 in words is "two hundred five million, eight hundred forty thousand, one hundred thirty-one".