85005001 has 2 divisors, whose sum is σ = 85005002. Its totient is φ = 85005000.

The previous prime is 85004971. The next prime is 85005059. The reversal of 85005001 is 10050058.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84548025 + 456976 = 9195^2 + 676^2 .

It is a cyclic number.

It is not a de Polignac number, because 85005001 - 2⁹ = 85004489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85005001.

It is not a weakly prime, because it can be changed into another prime (85005071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42502500 + 42502501.

It is an arithmetic number, because the mean of its divisors is an integer number (42502501).

Almost surely, 2^85005001 is an apocalyptic number.

It is an amenable number.

85005001 is a deficient number, since it is larger than the sum of its proper divisors (1).

85005001 is an equidigital number, since it uses as much as digits as its factorization.

85005001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 85005001 is about 9219.8156706086. The cubic root of 85005001 is about 439.6915900056.

Adding to 85005001 its reverse (10050058), we get a palindrome (95055059).

The spelling of 85005001 in words is "eighty-five million, five thousand, one".