85105001 has 2 divisors, whose sum is σ = 85105002. Its totient is φ = 85105000.

The previous prime is 85104997. The next prime is 85105003. The reversal of 85105001 is 10050158.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45427600 + 39677401 = 6740^2 + 6299^2 .

It is a cyclic number.

It is not a de Polignac number, because 85105001 - 2² = 85104997 is a prime.

It is a super-2 number, since 2×85105001² = 14485722390420002, which contains 22 as substring.

Together with 85105003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85105003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42552500 + 42552501.

It is an arithmetic number, because the mean of its divisors is an integer number (42552501).

Almost surely, 2^85105001 is an apocalyptic number.

It is an amenable number.

85105001 is a deficient number, since it is larger than the sum of its proper divisors (1).

85105001 is an equidigital number, since it uses as much as digits as its factorization.

85105001 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 20.

The square root of 85105001 is about 9225.2371785228. The cubic root of 85105001 is about 439.8639403691.

Adding to 85105001 its reverse (10050158), we get a palindrome (95155159).

The spelling of 85105001 in words is "eighty-five million, one hundred five thousand, one".