527289 has 24 divisors (see below), whose sum is σ = 870048. Its totient is φ = 282240.

The previous prime is 527281. The next prime is 527291. The reversal of 527289 is 982725.

It is not a de Polignac number, because 527289 - 2³ = 527281 is a prime.

It is a d-powerful number, because it can be written as 5 + 2 + 2¹⁹ + 7⁴ + 8³ + 9² .

It is not an unprimeable number, because it can be changed into a prime (527281) 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, 2394 + ... + 2604.

It is an arithmetic number, because the mean of its divisors is an integer number (36252).

2⁵²⁷²⁸⁹ is an apocalyptic number.

It is an amenable number.

527289 is a deficient number, since it is larger than the sum of its proper divisors (342759).

527289 is a wasteful number, since it uses less digits than its factorization.

527289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 238 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 527289 is about 726.1466793975. The cubic root of 527289 is about 80.7885048020.

It can be divided in two parts, 52728 and 9, that multiplied together give a cube (474552 = 78³).

The spelling of 527289 in words is "five hundred twenty-seven thousand, two hundred eighty-nine".