90208117 has 2 divisors, whose sum is σ = 90208118. Its totient is φ = 90208116.

The previous prime is 90208099. The next prime is 90208147. The reversal of 90208117 is 71180209.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59582961 + 30625156 = 7719^2 + 5534^2 .

It is an emirp because it is prime and its reverse (71180209) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90208117 - 2⁷ = 90207989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90208147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45104058 + 45104059.

It is an arithmetic number, because the mean of its divisors is an integer number (45104059).

Almost surely, 2^90208117 is an apocalyptic number.

It is an amenable number.

90208117 is a deficient number, since it is larger than the sum of its proper divisors (1).

90208117 is an equidigital number, since it uses as much as digits as its factorization.

90208117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 90208117 is about 9497.7953757701. The cubic root of 90208117 is about 448.4856370774.

The spelling of 90208117 in words is "ninety million, two hundred eight thousand, one hundred seventeen".