90085033 has 2 divisors, whose sum is σ = 90085034. Its totient is φ = 90085032.

The previous prime is 90085027. The next prime is 90085063. The reversal of 90085033 is 33058009.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80048809 + 10036224 = 8947^2 + 3168^2 .

It is a cyclic number.

It is not a de Polignac number, because 90085033 - 2¹³ = 90076841 is a prime.

It is a super-2 number, since 2×90085033² = 16230626341222178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90084992 and 90085010.

It is not a weakly prime, because it can be changed into another prime (90085003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45042516 + 45042517.

It is an arithmetic number, because the mean of its divisors is an integer number (45042517).

Almost surely, 2^90085033 is an apocalyptic number.

It is an amenable number.

90085033 is a deficient number, since it is larger than the sum of its proper divisors (1).

90085033 is an equidigital number, since it uses as much as digits as its factorization.

90085033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 90085033 is about 9491.3135550355. The cubic root of 90085033 is about 448.2815662633.

It can be divided in two parts, 9008 and 5033, that added together give a palindrome (14041).

The spelling of 90085033 in words is "ninety million, eighty-five thousand, thirty-three".