527661 has 8 divisors (see below), whose sum is σ = 781760. Its totient is φ = 351756.

The previous prime is 527633. The next prime is 527671. The reversal of 527661 is 166725.

It is not a de Polignac number, because 527661 - 2⁷ = 527533 is a prime.

It is a super-2 number, since 2×527661² = 556852261842, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 19543 = 527661 / (5 + 2 + 7 + 6 + 6 + 1).

It is a Duffinian number.

527661 is a lucky number.

It is a nialpdrome in base 14.

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 527661.

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 7 ways as a sum of consecutive naturals, for example, 9745 + ... + 9798.

It is an arithmetic number, because the mean of its divisors is an integer number (97720).

2⁵²⁷⁶⁶¹ is an apocalyptic number.

It is an amenable number.

527661 is a deficient number, since it is larger than the sum of its proper divisors (254099).

527661 is a wasteful number, since it uses less digits than its factorization.

527661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19552 (or 19546 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 527661 is about 726.4027808317. The cubic root of 527661 is about 80.8074989772.

The spelling of 527661 in words is "five hundred twenty-seven thousand, six hundred sixty-one".