52746 has 16 divisors (see below), whose sum is σ = 108000. Its totient is φ = 17168.

The previous prime is 52733. The next prime is 52747. The reversal of 52746 is 64725.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52746.

It is not an unprimeable number, because it can be changed into a prime (52747) by changing a digit.

52746 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280 + ... + 428.

It is an arithmetic number, because the mean of its divisors is an integer number (6750).

2⁵²⁷⁴⁶ is an apocalyptic number.

52746 is an abundant number, since it is smaller than the sum of its proper divisors (55254).

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 (54000).

52746 is a wasteful number, since it uses less digits than its factorization.

52746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213.

The product of its digits is 1680, while the sum is 24.

The square root of 52746 is about 229.6649733851. The cubic root of 52746 is about 37.5027553531.

It can be divided in two parts, 527 and 46, that multiplied together give a palindrome (24242).

The spelling of 52746 in words is "fifty-two thousand, seven hundred forty-six".