85929601 has 2 divisors, whose sum is σ = 85929602. Its totient is φ = 85929600.

The previous prime is 85929527. The next prime is 85929617. The reversal of 85929601 is 10692958.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85655025 + 274576 = 9255^2 + 524^2 .

It is a cyclic number.

It is not a de Polignac number, because 85929601 - 2¹¹ = 85927553 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85929691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42964800 + 42964801.

It is an arithmetic number, because the mean of its divisors is an integer number (42964801).

Almost surely, 2^85929601 is an apocalyptic number.

It is an amenable number.

85929601 is a deficient number, since it is larger than the sum of its proper divisors (1).

85929601 is an equidigital number, since it uses as much as digits as its factorization.

85929601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 85929601 is about 9269.8220587021. The cubic root of 85929601 is about 441.2800209092.

The spelling of 85929601 in words is "eighty-five million, nine hundred twenty-nine thousand, six hundred one".