85652 has 36 divisors (see below), whose sum is σ = 191520. Its totient is φ = 33264.

The previous prime is 85643. The next prime is 85661. The reversal of 85652 is 25658.

It is an interprime number because it is at equal distance from previous prime (85643) and next prime (85661).

It is an alternating number because its digits alternate between even and odd.

Its product of digits (2400) is a multiple of the sum of its prime factors (60).

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 85652.

It is an unprimeable number.

85652 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, 3713 + ... + 3735.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

2⁸⁵⁶⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760).

85652 is an abundant number, since it is smaller than the sum of its proper divisors (105868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85652 is a wasteful number, since it uses less digits than its factorization.

85652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 51 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 85652 is about 292.6636294451. The cubic root of 85652 is about 44.0804313953.

It can be divided in two parts, 85 and 652, that added together give a palindrome (737).

The spelling of 85652 in words is "eighty-five thousand, six hundred fifty-two".