85302 has 24 divisors (see below), whose sum is σ = 211536. Its totient is φ = 24336.

The previous prime is 85297. The next prime is 85303. The reversal of 85302 is 20358.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85302.

It is not an unprimeable number, because it can be changed into a prime (85303) by changing a digit.

85302 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (8814).

2⁸⁵³⁰² is an apocalyptic number.

85302 is an abundant number, since it is smaller than the sum of its proper divisors (126234).

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 (105768).

85302 is a wasteful number, since it uses less digits than its factorization.

85302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 85302 is about 292.0650612449. The cubic root of 85302 is about 44.0203074304.

The spelling of 85302 in words is "eighty-five thousand, three hundred two".