85833 has 24 divisors (see below), whose sum is σ = 147360. Its totient is φ = 48960.

The previous prime is 85831. The next prime is 85837. The reversal of 85833 is 33858.

It is not a de Polignac number, because 85833 - 2¹ = 85831 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 85797 and 85806.

It is not an unprimeable number, because it can be changed into a prime (85831) 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, 5041 + ... + 5057.

It is an arithmetic number, because the mean of its divisors is an integer number (6140).

2⁸⁵⁸³³ is an apocalyptic number.

It is an amenable number.

85833 is a deficient number, since it is larger than the sum of its proper divisors (61527).

85833 is a wasteful number, since it uses less digits than its factorization.

85833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 31 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 85833 is about 292.9726949734. The cubic root of 85833 is about 44.1114598382. Note that the first 3 decimals are identical.

It can be divided in two parts, 8 and 5833, that multiplied together give a palindrome (46664).

The spelling of 85833 in words is "eighty-five thousand, eight hundred thirty-three".