460561 has 2 divisors, whose sum is σ = 460562. Its totient is φ = 460560.

The previous prime is 460543. The next prime is 460571. The reversal of 460561 is 165064.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 342225 + 118336 = 585^2 + 344^2 .

It is a cyclic number.

It is not a de Polignac number, because 460561 - 2¹⁷ = 329489 is a prime.

It is a Chen prime.

460561 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (460531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230280 + 230281.

It is an arithmetic number, because the mean of its divisors is an integer number (230281).

2⁴⁶⁰⁵⁶¹ is an apocalyptic number.

460561 is the 304-th centered decagonal number.

It is an amenable number.

460561 is a deficient number, since it is larger than the sum of its proper divisors (1).

460561 is an equidigital number, since it uses as much as digits as its factorization.

460561 is an evil number, because the sum of its binary digits is even.

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

The square root of 460561 is about 678.6464469810. The cubic root of 460561 is about 77.2257947575.

The spelling of 460561 in words is "four hundred sixty thousand, five hundred sixty-one".