82361 has 2 divisors, whose sum is σ = 82362. Its totient is φ = 82360.

The previous prime is 82351. The next prime is 82373. The reversal of 82361 is 16328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72361 + 10000 = 269^2 + 100^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82361 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41180 + 41181.

It is an arithmetic number, because the mean of its divisors is an integer number (41181).

2⁸²³⁶¹ is an apocalyptic number.

It is an amenable number.

82361 is a deficient number, since it is larger than the sum of its proper divisors (1).

82361 is an equidigital number, since it uses as much as digits as its factorization.

82361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 288, while the sum is 20.

The square root of 82361 is about 286.9860623793. The cubic root of 82361 is about 43.5084759104.

Adding to 82361 its reverse (16328), we get a palindrome (98689).

The spelling of 82361 in words is "eighty-two thousand, three hundred sixty-one".