85906801 has 2 divisors, whose sum is σ = 85906802. Its totient is φ = 85906800.

The previous prime is 85906759. The next prime is 85906811. The reversal of 85906801 is 10860958.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85747600 + 159201 = 9260^2 + 399^2 .

It is a cyclic number.

It is not a de Polignac number, because 85906801 - 2²⁵ = 52352369 is a prime.

It is not a weakly prime, because it can be changed into another prime (85906811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42953400 + 42953401.

It is an arithmetic number, because the mean of its divisors is an integer number (42953401).

Almost surely, 2^85906801 is an apocalyptic number.

It is an amenable number.

85906801 is a deficient number, since it is larger than the sum of its proper divisors (1).

85906801 is an equidigital number, since it uses as much as digits as its factorization.

85906801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 85906801 is about 9268.5921800455. The cubic root of 85906801 is about 441.2409886691.

The spelling of 85906801 in words is "eighty-five million, nine hundred six thousand, eight hundred one".