85854 has 16 divisors (see below), whose sum is σ = 176400. Its totient is φ = 27840.

The previous prime is 85853. The next prime is 85889. The reversal of 85854 is 45858.

85854 = 145² + 146² + ... + 148².

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85853) 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 7 ways as a sum of consecutive naturals, for example, 72 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (11025).

2⁸⁵⁸⁵⁴ is an apocalyptic number.

85854 is an abundant number, since it is smaller than the sum of its proper divisors (90546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88200).

85854 is a wasteful number, since it uses less digits than its factorization.

85854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395.

The product of its digits is 6400, while the sum is 30.

The square root of 85854 is about 293.0085322990. The cubic root of 85854 is about 44.1150569983.

It can be divided in two parts, 85 and 854, that added together give a palindrome (939).

The spelling of 85854 in words is "eighty-five thousand, eight hundred fifty-four".