85033 has 8 divisors (see below), whose sum is σ = 94976. Its totient is φ = 75600.

The previous prime is 85027. The next prime is 85037. The reversal of 85033 is 33058.

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

It is a cyclic number.

It is not a de Polignac number, because 85033 - 2⁹ = 84521 is a prime.

It is a super-2 number, since 2×85033² = 14461222178, which contains 22 as substring.

It is a Duffinian number.

85033 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 85033.

It is not an unprimeable number, because it can be changed into a prime (85037) 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, 298 + ... + 508.

It is an arithmetic number, because the mean of its divisors is an integer number (11872).

2⁸⁵⁰³³ is an apocalyptic number.

It is an amenable number.

85033 is a deficient number, since it is larger than the sum of its proper divisors (9943).

85033 is a wasteful number, since it uses less digits than its factorization.

85033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 85033 is about 291.6041837834. The cubic root of 85033 is about 43.9739860003.

It can be divided in two parts, 8 and 5033, that added together give a square (5041 = 71²).

The spelling of 85033 in words is "eighty-five thousand, thirty-three".