85602 has 16 divisors (see below), whose sum is σ = 186912. Its totient is φ = 25920.

The previous prime is 85601. The next prime is 85607. The reversal of 85602 is 20658.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85602.

It is not an unprimeable number, because it can be changed into a prime (85601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583 + ... + 714.

It is an arithmetic number, because the mean of its divisors is an integer number (11682).

2⁸⁵⁶⁰² is an apocalyptic number.

85602 is an abundant number, since it is smaller than the sum of its proper divisors (101310).

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 (93456).

85602 is a wasteful number, since it uses less digits than its factorization.

85602 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 85602 is about 292.5781946762. The cubic root of 85602 is about 44.0718522978.

The spelling of 85602 in words is "eighty-five thousand, six hundred two".