85910509 has 8 divisors (see below), whose sum is σ = 88969752. Its totient is φ = 82904640.

The previous prime is 85910507. The next prime is 85910519. The reversal of 85910509 is 90501958.

It can be written as a sum of positive squares in 4 ways, for example, as 26234884 + 59675625 = 5122^2 + 7725^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 85910509 - 2¹ = 85910507 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85910507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10054 + ... + 16519.

It is an arithmetic number, because the mean of its divisors is an integer number (11121219).

Almost surely, 2^85910509 is an apocalyptic number.

It is an amenable number.

85910509 is a deficient number, since it is larger than the sum of its proper divisors (3059243).

85910509 is a wasteful number, since it uses less digits than its factorization.

85910509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26687.

The product of its (nonzero) digits is 16200, while the sum is 37.

The square root of 85910509 is about 9268.7922082653. The cubic root of 85910509 is about 441.2473370142.

The spelling of 85910509 in words is "eighty-five million, nine hundred ten thousand, five hundred nine".