93852 has 48 divisors (see below), whose sum is σ = 268800. Its totient is φ = 28080.

The previous prime is 93851. The next prime is 93871. The reversal of 93852 is 25839.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1149 + ... + 1227.

It is an arithmetic number, because the mean of its divisors is an integer number (5600).

2⁹³⁸⁵² 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 93852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134400).

93852 is an abundant number, since it is smaller than the sum of its proper divisors (174948).

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

93852 is a wasteful number, since it uses less digits than its factorization.

93852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 95 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 93852 is about 306.3527378693. The cubic root of 93852 is about 45.4444840761. Note that the first 4 decimals are identical.

It can be divided in two parts, 938 and 52, that added together give a triangular number (990 = T₄₄).

The spelling of 93852 in words is "ninety-three thousand, eight hundred fifty-two".