527741 has 2 divisors, whose sum is σ = 527742. Its totient is φ = 527740.

The previous prime is 527729. The next prime is 527749. The reversal of 527741 is 147725.

527741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 525625 + 2116 = 725^2 + 46^2 .

It is a cyclic number.

It is not a de Polignac number, because 527741 - 2¹⁰ = 526717 is a prime.

It is a Chen prime.

It is equal to p₄₃₆₅₈ and since 527741 and 43658 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 527741.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (527749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 263870 + 263871.

It is an arithmetic number, because the mean of its divisors is an integer number (263871).

2⁵²⁷⁷⁴¹ is an apocalyptic number.

It is an amenable number.

527741 is a deficient number, since it is larger than the sum of its proper divisors (1).

527741 is an equidigital number, since it uses as much as digits as its factorization.

527741 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1960, while the sum is 26.

The square root of 527741 is about 726.4578446132. The cubic root of 527741 is about 80.8115825797.

The spelling of 527741 in words is "five hundred twenty-seven thousand, seven hundred forty-one".