85852 has 18 divisors (see below), whose sum is σ = 163968. Its totient is φ = 39312.

The previous prime is 85847. The next prime is 85853. The reversal of 85852 is 25858.

It is a super-3 number, since 3×85852³ = 1898333471970624, which contains 333 as substring.

It is an Ulam number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85853) by changing a digit.

85852 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 5 ways as a sum of consecutive naturals, for example, 613 + ... + 739.

2⁸⁵⁸⁵² is an apocalyptic number.

It is an amenable number.

85852 is a deficient number, since it is larger than the sum of its proper divisors (78116).

85852 is a wasteful number, since it uses less digits than its factorization.

85852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its digits is 3200, while the sum is 28.

The square root of 85852 is about 293.0051194092. The cubic root of 85852 is about 44.1147144369.

The spelling of 85852 in words is "eighty-five thousand, eight hundred fifty-two".