85452 has 12 divisors (see below), whose sum is σ = 199416. Its totient is φ = 28480.

The previous prime is 85451. The next prime is 85453. The reversal of 85452 is 25458.

It is an interprime number because it is at equal distance from previous prime (85451) and next prime (85453).

It is a tau number, because it is divible by the number of its divisors (12).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85452.

It is not an unprimeable number, because it can be changed into a prime (85451) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3549 + ... + 3572.

It is an arithmetic number, because the mean of its divisors is an integer number (16618).

2⁸⁵⁴⁵² is an apocalyptic number.

It is an amenable number.

85452 is an abundant number, since it is smaller than the sum of its proper divisors (113964).

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 (99708).

85452 is a wasteful number, since it uses less digits than its factorization.

85452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7128 (or 7126 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 85452 is about 292.3217405531. The cubic root of 85452 is about 44.0460949442.

It can be divided in two parts, 8 and 5452, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 85452 in words is "eighty-five thousand, four hundred fifty-two".