82037 has 2 divisors, whose sum is σ = 82038. Its totient is φ = 82036.

The previous prime is 82031. The next prime is 82039. The reversal of 82037 is 73028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42436 + 39601 = 206^2 + 199^2 .

It is a cyclic number.

It is not a de Polignac number, because 82037 - 2⁴ = 82021 is a prime.

Together with 82039, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82037.

It is not a weakly prime, because it can be changed into another prime (82031) 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, 41018 + 41019.

It is an arithmetic number, because the mean of its divisors is an integer number (41019).

2⁸²⁰³⁷ is an apocalyptic number.

It is an amenable number.

82037 is a deficient number, since it is larger than the sum of its proper divisors (1).

82037 is an equidigital number, since it uses as much as digits as its factorization.

82037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 82037 is about 286.4210187818. The cubic root of 82037 is about 43.4513482578.

Subtracting from 82037 its reverse (73028), we obtain a palindrome (9009).

The spelling of 82037 in words is "eighty-two thousand, thirty-seven".