84852 has 18 divisors (see below), whose sum is σ = 214578. Its totient is φ = 28272.

The previous prime is 84827. The next prime is 84857. The reversal of 84852 is 25848.

It can be written as a sum of positive squares in only one way, i.e., 60516 + 24336 = 246^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 14.

It is a zygodrome in base 14.

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 84852.

It is not an unprimeable number, because it can be changed into a prime (84857) by changing a digit.

84852 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, 1143 + ... + 1214.

It is an arithmetic number, because the mean of its divisors is an integer number (11921).

2⁸⁴⁸⁵² is an apocalyptic number.

It is an amenable number.

84852 is an abundant number, since it is smaller than the sum of its proper divisors (129726).

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

84852 is a wasteful number, since it uses less digits than its factorization.

84852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2362 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 84852 is about 291.2936662545. The cubic root of 84852 is about 43.9427630417.

It can be divided in two parts, 848 and 52, that added together give a square (900 = 30²).

The spelling of 84852 in words is "eighty-four thousand, eight hundred fifty-two".