527725 has 24 divisors (see below), whose sum is σ = 758880. Its totient is φ = 360000.

The previous prime is 527701. The next prime is 527729.

527725 is nontrivially palindromic in base 10 and base 15.

It is not a de Polignac number, because 527725 - 2¹¹ = 525677 is a prime.

527725 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 527693 and 527702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527729) 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, 5175 + ... + 5275.

It is an arithmetic number, because the mean of its divisors is an integer number (31620).

2⁵²⁷⁷²⁵ is an apocalyptic number.

527725 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

527725 is a deficient number, since it is larger than the sum of its proper divisors (231155).

527725 is a wasteful number, since it uses less digits than its factorization.

527725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 136 counting only the distinct ones).

The product of its digits is 4900, while the sum is 28.

The square root of 527725 is about 726.4468321908. The cubic root of 527725 is about 80.8107658922.

It can be divided in two parts, 52 and 7725, that added together give a palindrome (7777).

The spelling of 527725 in words is "five hundred twenty-seven thousand, seven hundred twenty-five".