8505135 has 24 divisors (see below), whose sum is σ = 15180720. Its totient is φ = 4518000.

The previous prime is 8505127. The next prime is 8505137. The reversal of 8505135 is 5315058.

8505135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8505135 - 2³ = 8505127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

8505135 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8505099 and 8505108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8505137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33760 + ... + 34010.

It is an arithmetic number, because the mean of its divisors is an integer number (632530).

Almost surely, 2^8505135 is an apocalyptic number.

8505135 is a deficient number, since it is larger than the sum of its proper divisors (6675585).

8505135 is an equidigital number, since it uses as much as digits as its factorization.

8505135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 8505135 is about 2916.3564596942. The cubic root of 8505135 is about 204.1238434875.

The spelling of 8505135 in words is "eight million, five hundred five thousand, one hundred thirty-five".