85564033 has 2 divisors, whose sum is σ = 85564034. Its totient is φ = 85564032.

The previous prime is 85564021. The next prime is 85564067. The reversal of 85564033 is 33046558.

It is an a-pointer prime, because the next prime (85564067) can be obtained adding 85564033 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84327489 + 1236544 = 9183^2 + 1112^2 .

It is a cyclic number.

It is not a de Polignac number, because 85564033 - 2⁵ = 85564001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85564033.

It is not a weakly prime, because it can be changed into another prime (85564013) 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, 42782016 + 42782017.

It is an arithmetic number, because the mean of its divisors is an integer number (42782017).

Almost surely, 2^85564033 is an apocalyptic number.

It is an amenable number.

85564033 is a deficient number, since it is larger than the sum of its proper divisors (1).

85564033 is an equidigital number, since it uses as much as digits as its factorization.

85564033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 85564033 is about 9250.0828644937. The cubic root of 85564033 is about 440.6533561417.

The spelling of 85564033 in words is "eighty-five million, five hundred sixty-four thousand, thirty-three".