85745565 has 24 divisors (see below), whose sum is σ = 151066968. Its totient is φ = 44979840.

The previous prime is 85745563. The next prime is 85745579. The reversal of 85745565 is 56554758.

85745565 is a `hidden beast` number, since 85 + 7 + 4 + 5 + 565 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4691556 + 81054009 = 2166^2 + 9003^2 .

It is not a de Polignac number, because 85745565 - 2¹ = 85745563 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 85745565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85745563) 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, 12874 + ... + 18363.

It is an arithmetic number, because the mean of its divisors is an integer number (6294457).

Almost surely, 2^85745565 is an apocalyptic number.

It is an amenable number.

85745565 is a deficient number, since it is larger than the sum of its proper divisors (65321403).

85745565 is a wasteful number, since it uses less digits than its factorization.

85745565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31309 (or 31306 counting only the distinct ones).

The product of its digits is 840000, while the sum is 45.

The square root of 85745565 is about 9259.8901181386. The cubic root of 85745565 is about 440.9647649514.

The spelling of 85745565 in words is "eighty-five million, seven hundred forty-five thousand, five hundred sixty-five".