85952 has 28 divisors (see below), whose sum is σ = 182880. Its totient is φ = 39936.

The previous prime is 85933. The next prime is 85991. The reversal of 85952 is 25958.

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 85952.

It is an unprimeable number.

85952 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, 1049 + ... + 1127.

2⁸⁵⁹⁵² 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 85952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91440).

85952 is an abundant number, since it is smaller than the sum of its proper divisors (96928).

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

85952 is a wasteful number, since it uses less digits than its factorization.

85952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 98 counting only the distinct ones).

The product of its digits is 3600, while the sum is 29.

The square root of 85952 is about 293.1757152289. The cubic root of 85952 is about 44.1318359939.

The spelling of 85952 in words is "eighty-five thousand, nine hundred fifty-two".