85569 has 8 divisors (see below), whose sum is σ = 124512. Its totient is φ = 51840.

The previous prime is 85549. The next prime is 85571. The reversal of 85569 is 96558.

85569 is nontrivially palindromic in base 16.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 85569 - 2⁸ = 85313 is a prime.

It is a super-2 number, since 2×85569² = 14644107522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 2593 = 85569 / (8 + 5 + 5 + 6 + 9).

85569 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (85549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1264 + ... + 1329.

It is an arithmetic number, because the mean of its divisors is an integer number (15564).

2⁸⁵⁵⁶⁹ is an apocalyptic number.

It is an amenable number.

85569 is a deficient number, since it is larger than the sum of its proper divisors (38943).

85569 is a wasteful number, since it uses less digits than its factorization.

85569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607.

The product of its digits is 10800, while the sum is 33.

The square root of 85569 is about 292.5217940599. The cubic root of 85569 is about 44.0661882633.

Adding to 85569 its product of digits (10800), we get a palindrome (96369).

The spelling of 85569 in words is "eighty-five thousand, five hundred sixty-nine".