85851 has 6 divisors (see below), whose sum is σ = 124020. Its totient is φ = 57228.

The previous prime is 85847. The next prime is 85853. The reversal of 85851 is 15858.

It is not a de Polignac number, because 85851 - 2² = 85847 is a prime.

85851 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85851.

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 5 ways as a sum of consecutive naturals, for example, 4761 + ... + 4778.

It is an arithmetic number, because the mean of its divisors is an integer number (20670).

2⁸⁵⁸⁵¹ is an apocalyptic number.

85851 is a deficient number, since it is larger than the sum of its proper divisors (38169).

85851 is a wasteful number, since it uses less digits than its factorization.

85851 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9545 (or 9542 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 85851 is about 293.0034129494. The cubic root of 85851 is about 44.1145431542.

It can be divided in two parts, 858 and 51, that added together give a palindrome (909).

The spelling of 85851 in words is "eighty-five thousand, eight hundred fifty-one".