85869 has 24 divisors (see below), whose sum is σ = 149760. Its totient is φ = 46368.

The previous prime is 85853. The next prime is 85889. The reversal of 85869 is 96858.

85869 = T₆₂ + T₆₃ + ... + T₉₀.

It is not a de Polignac number, because 85869 - 2⁴ = 85853 is a prime.

It is a super-2 number, since 2×85869² = 14746970322, which contains 22 as substring.

85869 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1804 + ... + 1850.

It is an arithmetic number, because the mean of its divisors is an integer number (6240).

2⁸⁵⁸⁶⁹ is an apocalyptic number.

It is an amenable number.

85869 is a deficient number, since it is larger than the sum of its proper divisors (63891).

85869 is a wasteful number, since it uses less digits than its factorization.

85869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 86 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 85869 is about 293.0341277053. The cubic root of 85869 is about 44.1176260392.

Adding to 85869 its sum of digits (36), we get a triangular number (85905 = T₄₁₄).

The spelling of 85869 in words is "eighty-five thousand, eight hundred sixty-nine".