8505959 has 24 divisors (see below), whose sum is σ = 11075328. Its totient is φ = 6456240.

The previous prime is 8505949. The next prime is 8505979. The reversal of 8505959 is 9595058.

It is a happy number.

8505959 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8505959 - 2⁴ = 8505943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8505949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22994 + ... + 23360.

It is an arithmetic number, because the mean of its divisors is an integer number (461472).

Almost surely, 2^8505959 is an apocalyptic number.

8505959 is a deficient number, since it is larger than the sum of its proper divisors (2569369).

8505959 is a wasteful number, since it uses less digits than its factorization.

8505959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 41.

The square root of 8505959 is about 2916.4977284407. The cubic root of 8505959 is about 204.1304352941.

The spelling of 8505959 in words is "eight million, five hundred five thousand, nine hundred fifty-nine".