90509033 has 2 divisors, whose sum is σ = 90509034. Its totient is φ = 90509032.

The previous prime is 90509011. The next prime is 90509047. The reversal of 90509033 is 33090509.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86620249 + 3888784 = 9307^2 + 1972^2 .

It is an emirp because it is prime and its reverse (33090509) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90509033 - 2¹² = 90504937 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 90508987 and 90509005.

It is not a weakly prime, because it can be changed into another prime (90509833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45254516 + 45254517.

It is an arithmetic number, because the mean of its divisors is an integer number (45254517).

Almost surely, 2^90509033 is an apocalyptic number.

It is an amenable number.

90509033 is a deficient number, since it is larger than the sum of its proper divisors (1).

90509033 is an equidigital number, since it uses as much as digits as its factorization.

90509033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3645, while the sum is 29.

The square root of 90509033 is about 9513.6235473136. The cubic root of 90509033 is about 448.9837693351.

The spelling of 90509033 in words is "ninety million, five hundred nine thousand, thirty-three".