82051 has 2 divisors, whose sum is σ = 82052. Its totient is φ = 82050.

The previous prime is 82039. The next prime is 82067. The reversal of 82051 is 15028.

It is a happy number.

It is an a-pointer prime, because the next prime (82067) can be obtained adding 82051 to its sum of digits (16).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 82051 - 2¹³ = 73859 is a prime.

It is equal to p₈₀₂₆ and since 82051 and 8026 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (82021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41025 + 41026.

It is an arithmetic number, because the mean of its divisors is an integer number (41026).

2⁸²⁰⁵¹ is an apocalyptic number.

82051 is a deficient number, since it is larger than the sum of its proper divisors (1).

82051 is an equidigital number, since it uses as much as digits as its factorization.

82051 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 82051 is about 286.4454572864. The cubic root of 82051 is about 43.4538198429.

Adding to 82051 its reverse (15028), we get a palindrome (97079).

The spelling of 82051 in words is "eighty-two thousand, fifty-one".