85072033 has 2 divisors, whose sum is σ = 85072034. Its totient is φ = 85072032.

The previous prime is 85071983. The next prime is 85072061. The reversal of 85072033 is 33027058.

It is an a-pointer prime, because the next prime (85072061) can be obtained adding 85072033 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77580864 + 7491169 = 8808^2 + 2737^2 .

It is a cyclic number.

It is not a de Polignac number, because 85072033 - 2⁹ = 85071521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85071992 and 85072010.

It is not a weakly prime, because it can be changed into another prime (85072333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42536016 + 42536017.

It is an arithmetic number, because the mean of its divisors is an integer number (42536017).

Almost surely, 2^85072033 is an apocalyptic number.

It is an amenable number.

85072033 is a deficient number, since it is larger than the sum of its proper divisors (1).

85072033 is an equidigital number, since it uses as much as digits as its factorization.

85072033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 85072033 is about 9223.4501679144. The cubic root of 85072033 is about 439.8071348264.

The spelling of 85072033 in words is "eighty-five million, seventy-two thousand, thirty-three".