527805 has 24 divisors (see below), whose sum is σ = 942552. Its totient is φ = 273024.

The previous prime is 527803. The next prime is 527809. The reversal of 527805 is 508725.

It is a happy number.

527805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39204 + 488601 = 198^2 + 699^2 .

It is not a de Polignac number, because 527805 - 2¹ = 527803 is a prime.

It is a Curzon number.

527805 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1507 + ... + 1823.

It is an arithmetic number, because the mean of its divisors is an integer number (39273).

2⁵²⁷⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

527805 is a deficient number, since it is larger than the sum of its proper divisors (414747).

527805 is a wasteful number, since it uses less digits than its factorization.

527805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 527805 is about 726.5018926335. The cubic root of 527805 is about 80.8148491645.

The spelling of 527805 in words is "five hundred twenty-seven thousand, eight hundred five".