852 has 12 divisors (see below), whose sum is σ = 2016. Its totient is φ = 280.

The previous prime is 839. The next prime is 853. The reversal of 852 is 258.

852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors.

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

It is a straight-line number, since its digits are in arithmetic progression.

It is a plaindrome in base 9, base 14 and base 15.

It is a nialpdrome in base 4 and base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853) by changing a digit.

852 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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

It is an upside-down number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24 + ... + 47.

It is an arithmetic number, because the mean of its divisors is an integer number (168).

852 is the 24-th pentagonal number.

It is an amenable number.

852 is an abundant number, since it is smaller than the sum of its proper divisors (1164).

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 (1008).

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

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

The sum of its prime factors is 78 (or 76 counting only the distinct ones).

The product of its digits is 80, while the sum is 15.

The square root of 852 is about 29.1890390387. The cubic root of 852 is about 9.4801061072.

The spelling of 852 in words is "eight hundred fifty-two", and thus it is an aban number.

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