205589149 has 16 divisors (see below), whose sum is σ = 219700800. Its totient is φ = 192036096.

The previous prime is 205589141. The next prime is 205589161. The reversal of 205589149 is 941985502.

It is a cyclic number.

It is not a de Polignac number, because 205589149 - 2³ = 205589141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205589141) 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 15 ways as a sum of consecutive naturals, for example, 140182 + ... + 141640.

It is an arithmetic number, because the mean of its divisors is an integer number (13731300).

Almost surely, 2^205589149 is an apocalyptic number.

205589149 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

205589149 is a deficient number, since it is larger than the sum of its proper divisors (14111651).

205589149 is a wasteful number, since it uses less digits than its factorization.

205589149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644.

The product of its (nonzero) digits is 129600, while the sum is 43.

The square root of 205589149 is about 14338.3802781207. The cubic root of 205589149 is about 590.2011657226.

It can be divided in two parts, 2055 and 89149, that added together give a square (91204 = 302²).

The spelling of 205589149 in words is "two hundred five million, five hundred eighty-nine thousand, one hundred forty-nine".