85008601 has 2 divisors, whose sum is σ = 85008602. Its totient is φ = 85008600.

The previous prime is 85008589. The next prime is 85008629. The reversal of 85008601 is 10680058.

It is a happy number.

It is an a-pointer prime, because the next prime (85008629) can be obtained adding 85008601 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42771600 + 42237001 = 6540^2 + 6499^2 .

It is a cyclic number.

It is not a de Polignac number, because 85008601 - 2¹⁵ = 84975833 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85008601.

It is not a weakly prime, because it can be changed into another prime (85008691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42504300 + 42504301.

It is an arithmetic number, because the mean of its divisors is an integer number (42504301).

Almost surely, 2^85008601 is an apocalyptic number.

It is an amenable number.

85008601 is a deficient number, since it is larger than the sum of its proper divisors (1).

85008601 is an equidigital number, since it uses as much as digits as its factorization.

85008601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 85008601 is about 9220.0109002105. The cubic root of 85008601 is about 439.6977969635.

Adding to 85008601 its reverse (10680058), we get a palindrome (95688659).

The spelling of 85008601 in words is "eighty-five million, eight thousand, six hundred one".