205782131 has 2 divisors, whose sum is σ = 205782132. Its totient is φ = 205782130.

The previous prime is 205782113. The next prime is 205782139. The reversal of 205782131 is 131287502.

Together with previous prime (205782113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205782131 is a prime.

It is a super-2 number, since 2×205782131² = 84692570877802322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205782094 and 205782103.

It is not a weakly prime, because it can be changed into another prime (205782139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102891065 + 102891066.

It is an arithmetic number, because the mean of its divisors is an integer number (102891066).

Almost surely, 2^205782131 is an apocalyptic number.

205782131 is a deficient number, since it is larger than the sum of its proper divisors (1).

205782131 is an equidigital number, since it uses as much as digits as its factorization.

205782131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 205782131 is about 14345.1082603095. The cubic root of 205782131 is about 590.3857775769.

The spelling of 205782131 in words is "two hundred five million, seven hundred eighty-two thousand, one hundred thirty-one".