506461 has 2 divisors, whose sum is σ = 506462. Its totient is φ = 506460.

The previous prime is 506459. The next prime is 506479. The reversal of 506461 is 164605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 396900 + 109561 = 630^2 + 331^2 .

It is a cyclic number.

It is not a de Polignac number, because 506461 - 2¹ = 506459 is a prime.

Together with 506459, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253230 + 253231.

It is an arithmetic number, because the mean of its divisors is an integer number (253231).

2⁵⁰⁶⁴⁶¹ is an apocalyptic number.

It is an amenable number.

506461 is a deficient number, since it is larger than the sum of its proper divisors (1).

506461 is an equidigital number, since it uses as much as digits as its factorization.

506461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 506461 is about 711.6607337770. The cubic root of 506461 is about 79.7104637906.

The spelling of 506461 in words is "five hundred six thousand, four hundred sixty-one".