46852 has 24 divisors (see below), whose sum is σ = 95256. Its totient is φ = 19968.

The previous prime is 46831. The next prime is 46853. The reversal of 46852 is 25864.

46852 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 37636 = 96^2 + 194^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 858 + ... + 910.

It is an arithmetic number, because the mean of its divisors is an integer number (3969).

2⁴⁶⁸⁵² is an apocalyptic number.

It is an amenable number.

46852 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (47628).

46852 is a wasteful number, since it uses less digits than its factorization.

46852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 85 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 46852 is about 216.4532282042. The cubic root of 46852 is about 36.0503410947.

It can be divided in two parts, 468 and 52, that multiplied together give a square (24336 = 156²).

The spelling of 46852 in words is "forty-six thousand, eight hundred fifty-two".