827537 has 2 divisors, whose sum is σ = 827538. Its totient is φ = 827536.

The previous prime is 827521. The next prime is 827539. The reversal of 827537 is 735728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 654481 + 173056 = 809^2 + 416^2 .

It is a cyclic number.

It is not a de Polignac number, because 827537 - 2⁴ = 827521 is a prime.

Together with 827539, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (827539) 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 as a sum of consecutive naturals, namely, 413768 + 413769.

It is an arithmetic number, because the mean of its divisors is an integer number (413769).

2⁸²⁷⁵³⁷ is an apocalyptic number.

It is an amenable number.

827537 is a deficient number, since it is larger than the sum of its proper divisors (1).

827537 is an equidigital number, since it uses as much as digits as its factorization.

827537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11760, while the sum is 32.

The square root of 827537 is about 909.6906067450. The cubic root of 827537 is about 93.8849127211.

Subtracting from 827537 its reverse (735728), we obtain a square (91809 = 303²).

The spelling of 827537 in words is "eight hundred twenty-seven thousand, five hundred thirty-seven".