85384801 has 2 divisors, whose sum is σ = 85384802. Its totient is φ = 85384800.

The previous prime is 85384777. The next prime is 85384843. The reversal of 85384801 is 10848358.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82901025 + 2483776 = 9105^2 + 1576^2 .

It is a cyclic number.

It is not a de Polignac number, because 85384801 - 2¹¹ = 85382753 is a prime.

It is not a weakly prime, because it can be changed into another prime (85384861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42692400 + 42692401.

It is an arithmetic number, because the mean of its divisors is an integer number (42692401).

Almost surely, 2^85384801 is an apocalyptic number.

It is an amenable number.

85384801 is a deficient number, since it is larger than the sum of its proper divisors (1).

85384801 is an equidigital number, since it uses as much as digits as its factorization.

85384801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 85384801 is about 9240.3896562861. The cubic root of 85384801 is about 440.3454604444.

The spelling of 85384801 in words is "eighty-five million, three hundred eighty-four thousand, eight hundred one".