90585313 has 8 divisors (see below), whose sum is σ = 111489728. Its totient is φ = 71671824.

The previous prime is 90585311. The next prime is 90585329. The reversal of 90585313 is 31358509.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 90585313 - 2¹ = 90585311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90585311) 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 in 7 ways as a sum of consecutive naturals, for example, 497631 + ... + 497812.

It is an arithmetic number, because the mean of its divisors is an integer number (13936216).

Almost surely, 2^90585313 is an apocalyptic number.

It is an amenable number.

90585313 is a deficient number, since it is larger than the sum of its proper divisors (20904415).

90585313 is a wasteful number, since it uses less digits than its factorization.

90585313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995463.

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 90585313 is about 9517.6316907096. The cubic root of 90585313 is about 449.1098667491.

The spelling of 90585313 in words is "ninety million, five hundred eighty-five thousand, three hundred thirteen".