85513905 has 24 divisors (see below), whose sum is σ = 151842600. Its totient is φ = 44494080.

The previous prime is 85513873. The next prime is 85513907. The reversal of 85513905 is 50931558.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1461681 + 84052224 = 1209^2 + 9168^2 .

It is not a de Polignac number, because 85513905 - 2⁵ = 85513873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85513905.

It is not an unprimeable number, because it can be changed into a prime (85513907) 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 23 ways as a sum of consecutive naturals, for example, 21330 + ... + 25019.

It is an arithmetic number, because the mean of its divisors is an integer number (6326775).

Almost surely, 2^85513905 is an apocalyptic number.

It is an amenable number.

85513905 is a deficient number, since it is larger than the sum of its proper divisors (66328695).

85513905 is a wasteful number, since it uses less digits than its factorization.

85513905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46401 (or 46398 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 85513905 is about 9247.3728701724. The cubic root of 85513905 is about 440.5672865409.

The spelling of 85513905 in words is "eighty-five million, five hundred thirteen thousand, nine hundred five".