205782141 has 16 divisors (see below), whose sum is σ = 289187840. Its totient is φ = 129800880.

The previous prime is 205782139. The next prime is 205782191. The reversal of 205782141 is 141287502.

It is not a de Polignac number, because 205782141 - 2¹ = 205782139 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205782099 and 205782108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205782131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54666 + ... + 58308.

It is an arithmetic number, because the mean of its divisors is an integer number (18074240).

Almost surely, 2^205782141 is an apocalyptic number.

It is an amenable number.

205782141 is a deficient number, since it is larger than the sum of its proper divisors (83405699).

205782141 is a wasteful number, since it uses less digits than its factorization.

205782141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4656.

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 205782141 is about 14345.1086088604. The cubic root of 205782141 is about 590.3857871401.

The spelling of 205782141 in words is "two hundred five million, seven hundred eighty-two thousand, one hundred forty-one".