90086505 has 32 divisors (see below), whose sum is σ = 155274240. Its totient is φ = 44452800.

The previous prime is 90086501. The next prime is 90086533. The reversal of 90086505 is 50568009.

It is not a de Polignac number, because 90086505 - 2² = 90086501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90086501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8580 + ... + 15930.

It is an arithmetic number, because the mean of its divisors is an integer number (4852320).

Almost surely, 2^90086505 is an apocalyptic number.

90086505 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

90086505 is a deficient number, since it is larger than the sum of its proper divisors (65187735).

90086505 is a wasteful number, since it uses less digits than its factorization.

90086505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7421.

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 90086505 is about 9491.3910993068. The cubic root of 90086505 is about 448.2840079078.

The spelling of 90086505 in words is "ninety million, eighty-six thousand, five hundred five".