528117 has 8 divisors (see below), whose sum is σ = 707520. Its totient is φ = 350400.

The previous prime is 528107. The next prime is 528127. The reversal of 528117 is 711825.

528117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (528107) and next prime (528127).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 528117 - 2⁶ = 528053 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 528117.

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 7 ways as a sum of consecutive naturals, for example, 984 + ... + 1422.

It is an arithmetic number, because the mean of its divisors is an integer number (88440).

2⁵²⁸¹¹⁷ is an apocalyptic number.

It is an amenable number.

528117 is a deficient number, since it is larger than the sum of its proper divisors (179403).

528117 is a wasteful number, since it uses less digits than its factorization.

528117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843.

The product of its digits is 560, while the sum is 24.

The square root of 528117 is about 726.7165884993. The cubic root of 528117 is about 80.8307699852.

It can be divided in two parts, 528 and 117, that multiplied together give a triangular number (61776 = T₃₅₁).

The spelling of 528117 in words is "five hundred twenty-eight thousand, one hundred seventeen".