461801 has 2 divisors, whose sum is σ = 461802. Its totient is φ = 461800.

The previous prime is 461717. The next prime is 461803. The reversal of 461801 is 108164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235225 + 226576 = 485^2 + 476^2 .

It is a cyclic number.

It is not a de Polignac number, because 461801 - 2¹⁰ = 460777 is a prime.

It is a super-3 number, since 3×461801³ = 295451270433316203, which contains 333 as substring.

It is a Sophie Germain prime.

Together with 461803, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (461803) 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, 230900 + 230901.

It is an arithmetic number, because the mean of its divisors is an integer number (230901).

2⁴⁶¹⁸⁰¹ is an apocalyptic number.

It is an amenable number.

461801 is a deficient number, since it is larger than the sum of its proper divisors (1).

461801 is an equidigital number, since it uses as much as digits as its factorization.

461801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 461801 is about 679.5594160925. The cubic root of 461801 is about 77.2950394203.

Adding to 461801 its reverse (108164), we get a palindrome (569965).

The spelling of 461801 in words is "four hundred sixty-one thousand, eight hundred one".