85166801 has 2 divisors, whose sum is σ = 85166802. Its totient is φ = 85166800.

The previous prime is 85166791. The next prime is 85166803. The reversal of 85166801 is 10866158.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81360400 + 3806401 = 9020^2 + 1951^2 .

It is a cyclic number.

It is not a de Polignac number, because 85166801 - 2⁶ = 85166737 is a prime.

Together with 85166803, 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 (85166803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42583400 + 42583401.

It is an arithmetic number, because the mean of its divisors is an integer number (42583401).

Almost surely, 2^85166801 is an apocalyptic number.

It is an amenable number.

85166801 is a deficient number, since it is larger than the sum of its proper divisors (1).

85166801 is an equidigital number, since it uses as much as digits as its factorization.

85166801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 85166801 is about 9228.5860780512. The cubic root of 85166801 is about 439.9703854035.

The spelling of 85166801 in words is "eighty-five million, one hundred sixty-six thousand, eight hundred one".