85648001 has 2 divisors, whose sum is σ = 85648002. Its totient is φ = 85648000.

The previous prime is 85647997. The next prime is 85648051. The reversal of 85648001 is 10084658.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81884401 + 3763600 = 9049^2 + 1940^2 .

It is a cyclic number.

It is not a de Polignac number, because 85648001 - 2² = 85647997 is a prime.

It is a super-3 number, since 3×85648001³ (a number of 25 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85648051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42824000 + 42824001.

It is an arithmetic number, because the mean of its divisors is an integer number (42824001).

Almost surely, 2^85648001 is an apocalyptic number.

It is an amenable number.

85648001 is a deficient number, since it is larger than the sum of its proper divisors (1).

85648001 is an equidigital number, since it uses as much as digits as its factorization.

85648001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 85648001 is about 9254.6205216638. The cubic root of 85648001 is about 440.7974536196.

The spelling of 85648001 in words is "eighty-five million, six hundred forty-eight thousand, one".