82301 has 2 divisors, whose sum is σ = 82302. Its totient is φ = 82300.

The previous prime is 82279. The next prime is 82307. The reversal of 82301 is 10328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75076 + 7225 = 274^2 + 85^2 .

It is a cyclic number.

It is not a de Polignac number, because 82301 - 2⁶ = 82237 is a prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41150 + 41151.

It is an arithmetic number, because the mean of its divisors is an integer number (41151).

2⁸²³⁰¹ is an apocalyptic number.

It is an amenable number.

82301 is a deficient number, since it is larger than the sum of its proper divisors (1).

82301 is an equidigital number, since it uses as much as digits as its factorization.

82301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 82301 is about 286.8815086408. The cubic root of 82301 is about 43.4979080335.

Adding to 82301 its reverse (10328), we get a palindrome (92629).

It can be divided in two parts, 82 and 301, that added together give a palindrome (383).

The spelling of 82301 in words is "eighty-two thousand, three hundred one".