82717001 has 2 divisors, whose sum is σ = 82717002. Its totient is φ = 82717000.

The previous prime is 82716979. The next prime is 82717007. The reversal of 82717001 is 10071728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82537225 + 179776 = 9085^2 + 424^2 .

It is a cyclic number.

It is not a de Polignac number, because 82717001 - 2²⁶ = 15608137 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82717007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41358500 + 41358501.

It is an arithmetic number, because the mean of its divisors is an integer number (41358501).

Almost surely, 2^82717001 is an apocalyptic number.

It is an amenable number.

82717001 is a deficient number, since it is larger than the sum of its proper divisors (1).

82717001 is an equidigital number, since it uses as much as digits as its factorization.

82717001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 784, while the sum is 26.

The square root of 82717001 is about 9094.8887293908. Note that the first 3 decimals coincide. The cubic root of 82717001 is about 435.7107348887.

Adding to 82717001 its reverse (10071728), we get a palindrome (92788729).

The spelling of 82717001 in words is "eighty-two million, seven hundred seventeen thousand, one".