527337 has 8 divisors (see below), whose sum is σ = 781280. Its totient is φ = 351540.

The previous prime is 527333. The next prime is 527347. The reversal of 527337 is 733725.

It is not a de Polignac number, because 527337 - 2² = 527333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 19531 = 527337 / (5 + 2 + 7 + 3 + 3 + 7).

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 527337.

It is not an unprimeable number, because it can be changed into a prime (527333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9739 + ... + 9792.

It is an arithmetic number, because the mean of its divisors is an integer number (97660).

2⁵²⁷³³⁷ is an apocalyptic number.

It is an amenable number.

527337 is a deficient number, since it is larger than the sum of its proper divisors (253943).

527337 is a wasteful number, since it uses less digits than its factorization.

527337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19540 (or 19534 counting only the distinct ones).

The product of its digits is 4410, while the sum is 27.

The square root of 527337 is about 726.1797298190. The cubic root of 527337 is about 80.7909561652.

The spelling of 527337 in words is "five hundred twenty-seven thousand, three hundred thirty-seven".