45852 has 12 divisors (see below), whose sum is σ = 107016. Its totient is φ = 15280.

The previous prime is 45841. The next prime is 45853. The reversal of 45852 is 25854.

45852 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 an alternating number because its digits alternate between even and odd.

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 45852.

It is not an unprimeable number, because it can be changed into a prime (45853) by changing a digit.

45852 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 3 ways as a sum of consecutive naturals, for example, 1899 + ... + 1922.

It is an arithmetic number, because the mean of its divisors is an integer number (8918).

2⁴⁵⁸⁵² is an apocalyptic number.

It is an amenable number.

45852 is an abundant number, since it is smaller than the sum of its proper divisors (61164).

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 (53508).

45852 is a wasteful number, since it uses less digits than its factorization.

45852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3826 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 45852 is about 214.1308011473. The cubic root of 45852 is about 35.7920105347.

The spelling of 45852 in words is "forty-five thousand, eight hundred fifty-two".