82073 has 2 divisors, whose sum is σ = 82074. Its totient is φ = 82072.

The previous prime is 82067. The next prime is 82129. The reversal of 82073 is 37028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43264 + 38809 = 208^2 + 197^2 .

It is a cyclic number.

It is not a de Polignac number, because 82073 - 2⁶ = 82009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (82003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41036 + 41037.

It is an arithmetic number, because the mean of its divisors is an integer number (41037).

2⁸²⁰⁷³ is an apocalyptic number.

It is an amenable number.

82073 is a deficient number, since it is larger than the sum of its proper divisors (1).

82073 is an equidigital number, since it uses as much as digits as its factorization.

82073 is an evil number, because the sum of its binary digits is even.

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

The square root of 82073 is about 286.4838564387. The cubic root of 82073 is about 43.4577031944.

The spelling of 82073 in words is "eighty-two thousand, seventy-three".