205715473 has 16 divisors (see below), whose sum is σ = 229248000. Its totient is φ = 183839040.

The previous prime is 205715459. The next prime is 205715513. The reversal of 205715473 is 374517502.

It is a cyclic number.

It is not a de Polignac number, because 205715473 - 2⁵ = 205715441 is a prime.

It is a super-2 number, since 2×205715473² = 84637711663227458, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205715273) 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, 15703 + ... + 25651.

It is an arithmetic number, because the mean of its divisors is an integer number (14328000).

Almost surely, 2^205715473 is an apocalyptic number.

205715473 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

205715473 is a deficient number, since it is larger than the sum of its proper divisors (23532527).

205715473 is a wasteful number, since it uses less digits than its factorization.

205715473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10032.

The product of its (nonzero) digits is 29400, while the sum is 34.

The square root of 205715473 is about 14342.7847017237. The cubic root of 205715473 is about 590.3220237660.

The spelling of 205715473 in words is "two hundred five million, seven hundred fifteen thousand, four hundred seventy-three".