82792097 has 2 divisors, whose sum is σ = 82792098. Its totient is φ = 82792096.

The previous prime is 82792081. The next prime is 82792109. The reversal of 82792097 is 79029728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72863296 + 9928801 = 8536^2 + 3151^2 .

It is a cyclic number.

It is not a de Polignac number, because 82792097 - 2⁴ = 82792081 is a prime.

It is not a weakly prime, because it can be changed into another prime (82792007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41396048 + 41396049.

It is an arithmetic number, because the mean of its divisors is an integer number (41396049).

Almost surely, 2^82792097 is an apocalyptic number.

It is an amenable number.

82792097 is a deficient number, since it is larger than the sum of its proper divisors (1).

82792097 is an equidigital number, since it uses as much as digits as its factorization.

82792097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 127008, while the sum is 44.

The square root of 82792097 is about 9099.0162655091. The cubic root of 82792097 is about 435.8425507432.

The spelling of 82792097 in words is "eighty-two million, seven hundred ninety-two thousand, ninety-seven".