90240113 has 2 divisors, whose sum is σ = 90240114. Its totient is φ = 90240112.

The previous prime is 90240107. The next prime is 90240133. The reversal of 90240113 is 31104209.

It is an a-pointer prime, because the next prime (90240133) can be obtained adding 90240113 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66308449 + 23931664 = 8143^2 + 4892^2 .

It is a cyclic number.

It is not a de Polignac number, because 90240113 - 2⁸ = 90239857 is a prime.

It is not a weakly prime, because it can be changed into another prime (90240103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45120056 + 45120057.

It is an arithmetic number, because the mean of its divisors is an integer number (45120057).

Almost surely, 2^90240113 is an apocalyptic number.

It is an amenable number.

90240113 is a deficient number, since it is larger than the sum of its proper divisors (1).

90240113 is an equidigital number, since it uses as much as digits as its factorization.

90240113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 90240113 is about 9499.4796173264. The cubic root of 90240113 is about 448.5386554040.

The spelling of 90240113 in words is "ninety million, two hundred forty thousand, one hundred thirteen".