82261 has 2 divisors, whose sum is σ = 82262. Its totient is φ = 82260.

The previous prime is 82241. The next prime is 82267. The reversal of 82261 is 16228.

It is a happy number.

82261 is nontrivially palindromic in base 15.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53361 + 28900 = 231^2 + 170^2 .

It is a cyclic number.

It is not a de Polignac number, because 82261 - 2⁹ = 81749 is a prime.

It is a zygodrome in base 4.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41130 + 41131.

It is an arithmetic number, because the mean of its divisors is an integer number (41131).

2⁸²²⁶¹ is an apocalyptic number.

It is an amenable number.

82261 is a deficient number, since it is larger than the sum of its proper divisors (1).

82261 is an equidigital number, since it uses as much as digits as its factorization.

82261 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 82261 is about 286.8117849740. The cubic root of 82261 is about 43.4908599284.

Adding to 82261 its reverse (16228), we get a palindrome (98489).

It can be divided in two parts, 82 and 261, that added together give a palindrome (343).

The spelling of 82261 in words is "eighty-two thousand, two hundred sixty-one".