85117033 has 2 divisors, whose sum is σ = 85117034. Its totient is φ = 85117032.

The previous prime is 85117027. The next prime is 85117069. The reversal of 85117033 is 33071158.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64432729 + 20684304 = 8027^2 + 4548^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85117033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85116992 and 85117010.

It is not a weakly prime, because it can be changed into another prime (85117013) 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, 42558516 + 42558517.

It is an arithmetic number, because the mean of its divisors is an integer number (42558517).

Almost surely, 2^85117033 is an apocalyptic number.

It is an amenable number.

85117033 is a deficient number, since it is larger than the sum of its proper divisors (1).

85117033 is an equidigital number, since it uses as much as digits as its factorization.

85117033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 85117033 is about 9225.8892796304. The cubic root of 85117033 is about 439.8846684637.

The spelling of 85117033 in words is "eighty-five million, one hundred seventeen thousand, thirty-three".