90385993 has 2 divisors, whose sum is σ = 90385994. Its totient is φ = 90385992.

The previous prime is 90385943. The next prime is 90386039. The reversal of 90385993 is 39958309.

It is an a-pointer prime, because the next prime (90386039) can be obtained adding 90385993 to its sum of digits (46).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58936329 + 31449664 = 7677^2 + 5608^2 .

It is a cyclic number.

It is not a de Polignac number, because 90385993 - 2¹³ = 90377801 is a prime.

It is not a weakly prime, because it can be changed into another prime (90385913) 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, 45192996 + 45192997.

It is an arithmetic number, because the mean of its divisors is an integer number (45192997).

Almost surely, 2^90385993 is an apocalyptic number.

It is an amenable number.

90385993 is a deficient number, since it is larger than the sum of its proper divisors (1).

90385993 is an equidigital number, since it uses as much as digits as its factorization.

90385993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 262440, while the sum is 46.

The square root of 90385993 is about 9507.1548320199. The cubic root of 90385993 is about 448.7802242195.

It can be divided in two parts, 90385 and 993, that added together give a triangular number (91378 = T₄₂₇).

The spelling of 90385993 in words is "ninety million, three hundred eighty-five thousand, nine hundred ninety-three".