90585667 has 2 divisors, whose sum is σ = 90585668. Its totient is φ = 90585666.

The previous prime is 90585653. The next prime is 90585679. The reversal of 90585667 is 76658509.

It is a strong prime.

It is an emirp because it is prime and its reverse (76658509) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90585667 - 2¹⁵ = 90552899 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (90585617) 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, 45292833 + 45292834.

It is an arithmetic number, because the mean of its divisors is an integer number (45292834).

Almost surely, 2^90585667 is an apocalyptic number.

90585667 is a deficient number, since it is larger than the sum of its proper divisors (1).

90585667 is an equidigital number, since it uses as much as digits as its factorization.

90585667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 46.

The square root of 90585667 is about 9517.6502877549. The cubic root of 90585667 is about 449.1104517765.

The spelling of 90585667 in words is "ninety million, five hundred eighty-five thousand, six hundred sixty-seven".