66852 has 24 divisors (see below), whose sum is σ = 173600. Its totient is φ = 22248.

The previous prime is 66851. The next prime is 66853. The reversal of 66852 is 25866.

It is an interprime number because it is at equal distance from previous prime (66851) and next prime (66853).

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

It is not an unprimeable number, because it can be changed into a prime (66851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202 + ... + 417.

2⁶⁶⁸⁵² is an apocalyptic number.

It is an amenable number.

66852 is an abundant number, since it is smaller than the sum of its proper divisors (106748).

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 (86800).

66852 is a wasteful number, since it uses less digits than its factorization.

66852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 624 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 66852 is about 258.5575371170. The cubic root of 66852 is about 40.5855530308.

The spelling of 66852 in words is "sixty-six thousand, eight hundred fifty-two".