827461 has 2 divisors, whose sum is σ = 827462. Its totient is φ = 827460.

The previous prime is 827447. The next prime is 827473. The reversal of 827461 is 164728.

827461 is nontrivially palindromic in base 9.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 690561 + 136900 = 831^2 + 370^2 .

It is a cyclic number.

It is not a de Polignac number, because 827461 - 2⁵ = 827429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (827161) 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, 413730 + 413731.

It is an arithmetic number, because the mean of its divisors is an integer number (413731).

2⁸²⁷⁴⁶¹ is an apocalyptic number.

It is an amenable number.

827461 is a deficient number, since it is larger than the sum of its proper divisors (1).

827461 is an equidigital number, since it uses as much as digits as its factorization.

827461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2688, while the sum is 28.

The square root of 827461 is about 909.6488333417. The cubic root of 827461 is about 93.8820385407.

The spelling of 827461 in words is "eight hundred twenty-seven thousand, four hundred sixty-one".