205308973 has 8 divisors (see below), whose sum is σ = 207778688. Its totient is φ = 202848624.

The previous prime is 205308953. The next prime is 205308989. The reversal of 205308973 is 379803502.

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 205308973 - 2⁹ = 205308461 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205308953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48115 + ... + 52207.

It is an arithmetic number, because the mean of its divisors is an integer number (25972336).

Almost surely, 2^205308973 is an apocalyptic number.

It is an amenable number.

205308973 is a deficient number, since it is larger than the sum of its proper divisors (2469715).

205308973 is a wasteful number, since it uses less digits than its factorization.

205308973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683.

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 205308973 is about 14328.6068059669. The cubic root of 205308973 is about 589.9329359758.

The spelling of 205308973 in words is "two hundred five million, three hundred eight thousand, nine hundred seventy-three".