205883141 has 8 divisors (see below), whose sum is σ = 220981464. Its totient is φ = 191116800.

The previous prime is 205883131. The next prime is 205883149. The reversal of 205883141 is 141388502.

It can be written as a sum of positive squares in 4 ways, for example, as 35058241 + 170824900 = 5921^2 + 13070^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205883141 - 2¹⁸ = 205620997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 205883098 and 205883107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205883149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81710 + ... + 84191.

It is an arithmetic number, because the mean of its divisors is an integer number (27622683).

Almost surely, 2^205883141 is an apocalyptic number.

It is an amenable number.

205883141 is a deficient number, since it is larger than the sum of its proper divisors (15098323).

205883141 is a wasteful number, since it uses less digits than its factorization.

205883141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165991.

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 205883141 is about 14348.6285407352. The cubic root of 205883141 is about 590.4823604893.

The spelling of 205883141 in words is "two hundred five million, eight hundred eighty-three thousand, one hundred forty-one".