461689 has 2 divisors, whose sum is σ = 461690. Its totient is φ = 461688.

The previous prime is 461687. The next prime is 461693. The reversal of 461689 is 986164.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 308025 + 153664 = 555^2 + 392^2 .

It is a cyclic number.

It is not a de Polignac number, because 461689 - 2¹ = 461687 is a prime.

Together with 461687, it forms a pair of twin primes.

461689 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (461687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230844 + 230845.

It is an arithmetic number, because the mean of its divisors is an integer number (230845).

2⁴⁶¹⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

461689 is a deficient number, since it is larger than the sum of its proper divisors (1).

461689 is an equidigital number, since it uses as much as digits as its factorization.

461689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 34.

The square root of 461689 is about 679.4770047618. The cubic root of 461689 is about 77.2887901597.

The spelling of 461689 in words is "four hundred sixty-one thousand, six hundred eighty-nine".