90005705 has 24 divisors (see below), whose sum is σ = 114565320. Its totient is φ = 67800320.

The previous prime is 90005687. The next prime is 90005711. The reversal of 90005705 is 50750009.

It can be written as a sum of positive squares in 4 ways, for example, as 15217801 + 74787904 = 3901^2 + 8648^2 .

It is not a de Polignac number, because 90005705 - 2²⁰ = 88957129 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 320165 + ... + 320445.

It is an arithmetic number, because the mean of its divisors is an integer number (4773555).

Almost surely, 2^90005705 is an apocalyptic number.

It is an amenable number.

90005705 is a deficient number, since it is larger than the sum of its proper divisors (24559615).

90005705 is a wasteful number, since it uses less digits than its factorization.

90005705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 90005705 is about 9487.1336556412. The cubic root of 90005705 is about 448.1499434979.

The spelling of 90005705 in words is "ninety million, five thousand, seven hundred five".