85534965 has 12 divisors (see below), whose sum is σ = 148260684. Its totient is φ = 45618624.

The previous prime is 85534961. The next prime is 85534987. The reversal of 85534965 is 56943558.

85534965 is a `hidden beast` number, since 8 + 553 + 4 + 96 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44395569 + 41139396 = 6663^2 + 6414^2 .

It is not a de Polignac number, because 85534965 - 2² = 85534961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1900777 = 85534965 / (8 + 5 + 5 + 3 + 4 + 9 + 6 + 5).

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 85534965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85534961) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 950344 + ... + 950433.

It is an arithmetic number, because the mean of its divisors is an integer number (12355057).

Almost surely, 2^85534965 is an apocalyptic number.

It is an amenable number.

85534965 is a deficient number, since it is larger than the sum of its proper divisors (62725719).

85534965 is a wasteful number, since it uses less digits than its factorization.

85534965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900788 (or 1900785 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 85534965 is about 9248.5115018580. The cubic root of 85534965 is about 440.6034505834.

The spelling of 85534965 in words is "eighty-five million, five hundred thirty-four thousand, nine hundred sixty-five".