87085305 has 24 divisors (see below), whose sum is σ = 159828552. Its totient is φ = 43713024.

The previous prime is 87085261. The next prime is 87085321. The reversal of 87085305 is 50358078.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7750656 + 79334649 = 2784^2 + 8907^2 .

It is not a de Polignac number, because 87085305 - 2⁶ = 87085241 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 87085305.

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, 56154 + ... + 57683.

It is an arithmetic number, because the mean of its divisors is an integer number (6659523).

Almost surely, 2^87085305 is an apocalyptic number.

87085305 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

87085305 is a deficient number, since it is larger than the sum of its proper divisors (72743247).

87085305 is a wasteful number, since it uses less digits than its factorization.

87085305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113865 (or 113862 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 87085305 is about 9331.9507606931. The cubic root of 87085305 is about 443.2495388140.

The spelling of 87085305 in words is "eighty-seven million, eighty-five thousand, three hundred five".