527000 has 64 divisors (see below), whose sum is σ = 1347840. Its totient is φ = 192000.

The previous prime is 526997. The next prime is 527053. The reversal of 527000 is 725.

527000 = 168² + 169² + ... + 184².

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 527000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16985 + ... + 17015.

It is an arithmetic number, because the mean of its divisors is an integer number (21060).

2⁵²⁷⁰⁰⁰ is an apocalyptic number.

527000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673920).

527000 is an abundant number, since it is smaller than the sum of its proper divisors (820840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

527000 is a wasteful number, since it uses less digits than its factorization.

527000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 14.

The square root of 527000 is about 725.9476565153. The cubic root of 527000 is about 80.7737424074.

Adding to 527000 its reverse (725), we get a palindrome (527725).

The spelling of 527000 in words is "five hundred twenty-seven thousand".