85565845 has 16 divisors (see below), whose sum is σ = 109196208. Its totient is φ = 64143360.

The previous prime is 85565813. The next prime is 85565917. The reversal of 85565845 is 54856558.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16990884 + 68574961 = 4122^2 + 8281^2 .

It is not a de Polignac number, because 85565845 - 2⁵ = 85565813 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85565795 and 85565804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18397 + ... + 22573.

It is an arithmetic number, because the mean of its divisors is an integer number (6824763).

Almost surely, 2^85565845 is an apocalyptic number.

85565845 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85565845 is a deficient number, since it is larger than the sum of its proper divisors (23630363).

85565845 is a wasteful number, since it uses less digits than its factorization.

85565845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440.

The product of its digits is 960000, while the sum is 46.

The square root of 85565845 is about 9250.1808090437. The cubic root of 85565845 is about 440.6564667097.

The spelling of 85565845 in words is "eighty-five million, five hundred sixty-five thousand, eight hundred forty-five".