205605141 has 16 divisors (see below), whose sum is σ = 313531008. Its totient is φ = 117403200.

The previous prime is 205605139. The next prime is 205605161. The reversal of 205605141 is 141506502.

It is not a de Polignac number, because 205605141 - 2¹ = 205605139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205605121) 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, 36451 + ... + 41711.

It is an arithmetic number, because the mean of its divisors is an integer number (19595688).

Almost surely, 2^205605141 is an apocalyptic number.

205605141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

205605141 is a deficient number, since it is larger than the sum of its proper divisors (107925867).

205605141 is a wasteful number, since it uses less digits than its factorization.

205605141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7132.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 205605141 is about 14338.9379313811. The cubic root of 205605141 is about 590.2164684958.

It can be divided in two parts, 205605 and 141, that multiplied together give a triangular number (28990305 = T₇₆₁₄).

The spelling of 205605141 in words is "two hundred five million, six hundred five thousand, one hundred forty-one".