527713 has 8 divisors (see below), whose sum is σ = 564480. Its totient is φ = 492240.

The previous prime is 527701. The next prime is 527729. The reversal of 527713 is 317725.

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

It is a cyclic number.

It is not a de Polignac number, because 527713 - 2¹³ = 519521 is a prime.

It is a d-powerful number, because it can be written as 5⁵ + 2¹⁹ + 7 + 7² + 1 + 3⁵ .

It is a Duffinian number.

527713 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (527753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 606 + ... + 1192.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

2⁵²⁷⁷¹³ is an apocalyptic number.

It is an amenable number.

527713 is a deficient number, since it is larger than the sum of its proper divisors (36767).

527713 is a wasteful number, since it uses less digits than its factorization.

527713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647.

The product of its digits is 1470, while the sum is 25.

The square root of 527713 is about 726.4385727644. The cubic root of 527713 is about 80.8101533658.

The spelling of 527713 in words is "five hundred twenty-seven thousand, seven hundred thirteen".