528147 has 16 divisors (see below), whose sum is σ = 808960. Its totient is φ = 340200.

The previous prime is 528137. The next prime is 528163. The reversal of 528147 is 741825.

It is not a de Polignac number, because 528147 - 2⁴ = 528131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 528147.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 528147.

It is not an unprimeable number, because it can be changed into a prime (528107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522 + ... + 1152.

It is an arithmetic number, because the mean of its divisors is an integer number (50560).

2⁵²⁸¹⁴⁷ is an apocalyptic number.

528147 is a deficient number, since it is larger than the sum of its proper divisors (280813).

528147 is a wasteful number, since it uses less digits than its factorization.

528147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 665 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 528147 is about 726.7372289900. The cubic root of 528147 is about 80.8323005029.

The spelling of 528147 in words is "five hundred twenty-eight thousand, one hundred forty-seven".