53652 has 24 divisors (see below), whose sum is σ = 133056. Its totient is φ = 16768.

The previous prime is 53639. The next prime is 53653. The reversal of 53652 is 25635.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53653) by changing a digit.

53652 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, 73 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (5544).

2⁵³⁶⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66528).

53652 is an abundant number, since it is smaller than the sum of its proper divisors (79404).

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

53652 is a wasteful number, since it uses less digits than its factorization.

53652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 285 counting only the distinct ones).

The product of its digits is 900, while the sum is 21.

The square root of 53652 is about 231.6290137267. The cubic root of 53652 is about 37.7162615389.

It can be divided in two parts, 536 and 52, that multiplied together give a palindrome (27872).

The spelling of 53652 in words is "fifty-three thousand, six hundred fifty-two".