527681 has 18 divisors (see below), whose sum is σ = 682290. Its totient is φ = 406560.

The previous prime is 527671. The next prime is 527699. The reversal of 527681 is 186725.

527681 = 214² + 215² + ... + 224².

It can be written as a sum of positive squares in only one way, i.e., 379456 + 148225 = 616^2 + 385^2 .

It is not a de Polignac number, because 527681 - 2¹⁰ = 526657 is a prime.

It is a super-2 number, since 2×527681² = 556894475522, which contains 22 as substring.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 527681.

It is not an unprimeable number, because it can be changed into a prime (527671) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5885 + ... + 5973.

It is an arithmetic number, because the mean of its divisors is an integer number (37905).

2⁵²⁷⁶⁸¹ is an apocalyptic number.

It is an amenable number.

527681 is a deficient number, since it is larger than the sum of its proper divisors (154609).

527681 is a wasteful number, since it uses less digits than its factorization.

527681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 527681 is about 726.4165471684. The cubic root of 527681 is about 80.8085199165.

The spelling of 527681 in words is "five hundred twenty-seven thousand, six hundred eighty-one".