205420527 has 48 divisors (see below), whose sum is σ = 329198688. Its totient is φ = 122653440.

The previous prime is 205420517. The next prime is 205420541. The reversal of 205420527 is 725024502.

It is not a de Polignac number, because 205420527 - 2¹⁰ = 205419503 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205420527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205420507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973452 + ... + 973662.

It is an arithmetic number, because the mean of its divisors is an integer number (6858306).

Almost surely, 2^205420527 is an apocalyptic number.

205420527 is a deficient number, since it is larger than the sum of its proper divisors (123778161).

205420527 is a wasteful number, since it uses less digits than its factorization.

205420527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 205420527 is about 14332.4989795918. The cubic root of 205420527 is about 590.0397627132.

The spelling of 205420527 in words is "two hundred five million, four hundred twenty thousand, five hundred twenty-seven".