84961 has 2 divisors, whose sum is σ = 84962. Its totient is φ = 84960.

The previous prime is 84947. The next prime is 84967. The reversal of 84961 is 16948.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78400 + 6561 = 280^2 + 81^2 .

It is a cyclic number.

It is not a de Polignac number, because 84961 - 2⁹ = 84449 is a prime.

It is not a weakly prime, because it can be changed into another prime (84967) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42480 + 42481.

It is an arithmetic number, because the mean of its divisors is an integer number (42481).

2⁸⁴⁹⁶¹ is an apocalyptic number.

It is an amenable number.

84961 is a deficient number, since it is larger than the sum of its proper divisors (1).

84961 is an equidigital number, since it uses as much as digits as its factorization.

84961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 28.

The square root of 84961 is about 291.4807026203. The cubic root of 84961 is about 43.9615711298.

The spelling of 84961 in words is "eighty-four thousand, nine hundred sixty-one".