205500029 has 32 divisors (see below), whose sum is σ = 264741120. Its totient is φ = 155271168.

The previous prime is 205500017. The next prime is 205500041. The reversal of 205500029 is 920005502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (205500017) and next prime (205500041).

It is a cyclic number.

It is not a de Polignac number, because 205500029 - 2¹² = 205495933 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 205499977 and 205500013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205500049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218849 + ... + 219785.

It is an arithmetic number, because the mean of its divisors is an integer number (8273160).

Almost surely, 2^205500029 is an apocalyptic number.

It is an amenable number.

205500029 is a deficient number, since it is larger than the sum of its proper divisors (59241091).

205500029 is a wasteful number, since it uses less digits than its factorization.

205500029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 205500029 is about 14335.2721983226. The cubic root of 205500029 is about 590.1158720998.

The spelling of 205500029 in words is "two hundred five million, five hundred thousand, twenty-nine".