85152 has 24 divisors (see below), whose sum is σ = 223776. Its totient is φ = 28352.

The previous prime is 85147. The next prime is 85159. The reversal of 85152 is 25158.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (85159) by changing a digit.

85152 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 3 ways as a sum of consecutive naturals, for example, 348 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (9324).

2⁸⁵¹⁵² is an apocalyptic number.

It is an amenable number.

85152 is an abundant number, since it is smaller than the sum of its proper divisors (138624).

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 (111888).

85152 is a wasteful number, since it uses less digits than its factorization.

85152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 892 counting only the distinct ones).

The product of its digits is 400, while the sum is 21.

The square root of 85152 is about 291.8081561574. The cubic root of 85152 is about 43.9944896681.

It can be divided in two parts, 851 and 52, that added together give a triangular number (903 = T₄₂).

The spelling of 85152 in words is "eighty-five thousand, one hundred fifty-two".