82083977 has 2 divisors, whose sum is σ = 82083978. Its totient is φ = 82083976.

The previous prime is 82083959. The next prime is 82083983. The reversal of 82083977 is 77938028.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82065481 + 18496 = 9059^2 + 136^2 .

It is a cyclic number.

It is not a de Polignac number, because 82083977 - 2¹⁶ = 82018441 is a prime.

It is not a weakly prime, because it can be changed into another prime (82083917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41041988 + 41041989.

It is an arithmetic number, because the mean of its divisors is an integer number (41041989).

Almost surely, 2^82083977 is an apocalyptic number.

It is an amenable number.

82083977 is a deficient number, since it is larger than the sum of its proper divisors (1).

82083977 is an equidigital number, since it uses as much as digits as its factorization.

82083977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 82083977 is about 9060.0208057156. The cubic root of 82083977 is about 434.5964055071.

The spelling of 82083977 in words is "eighty-two million, eighty-three thousand, nine hundred seventy-seven".