8461 has 2 divisors, whose sum is σ = 8462. Its totient is φ = 8460.

The previous prime is 8447. The next prime is 8467. The reversal of 8461 is 1648.

8461 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8100 + 361 = 90^2 + 19^2 .

It is a cyclic number.

It is not a de Polignac number, because 8461 - 2⁵ = 8429 is a prime.

It is a plaindrome in base 7.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4230 + 4231.

It is an arithmetic number, because the mean of its divisors is an integer number (4231).

2⁸⁴⁶¹ is an apocalyptic number.

It is an amenable number.

8461 is a deficient number, since it is larger than the sum of its proper divisors (1).

8461 is an equidigital number, since it uses as much as digits as its factorization.

8461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 192, while the sum is 19.

The square root of 8461 is about 91.9836942072. The cubic root of 8461 is about 20.3770149939.

The spelling of 8461 in words is "eight thousand, four hundred sixty-one".