461 has 2 divisors, whose sum is σ = 462. Its totient is φ = 460.

The previous prime is 457. The next prime is 463. The reversal of 461 is 164.

Added to its reverse (164) it gives a 4-th power (625 = 5⁴).

461 is nontrivially palindromic in base 4.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 361 + 100 = 19^2 + 10^2 .

It is a cyclic number.

It is not a de Polignac number, because 461 - 2² = 457 is a prime.

Together with 463, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 7, base 11, base 14 and base 16.

It is a nialpdrome in base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 461.

It is not a weakly prime, because it can be changed into another prime (463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230 + 231.

It is an arithmetic number, because the mean of its divisors is an integer number (231).

It is an amenable number.

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

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

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

The product of its digits is 24, while the sum is 11.

The square root of 461 is about 21.4709105536. The cubic root of 461 is about 7.7250323798.

Adding to 461 its reverse (164), we get a 4-th power (625 = 5⁴).

The spelling of 461 in words is "four hundred sixty-one", and thus it is an aban number.