53364 has 12 divisors (see below), whose sum is σ = 124544. Its totient is φ = 17784.

The previous prime is 53359. The next prime is 53377. The reversal of 53364 is 46335.

It is a tau number, because it is divible by the number of its divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 53364.

It is a congruent number.

It is an unprimeable number.

53364 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 3 ways as a sum of consecutive naturals, for example, 2212 + ... + 2235.

2⁵³³⁶⁴ is an apocalyptic number.

It is an amenable number.

53364 is an abundant number, since it is smaller than the sum of its proper divisors (71180).

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 (62272).

53364 is a wasteful number, since it uses less digits than its factorization.

53364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4452 counting only the distinct ones).

The product of its digits is 1080, while the sum is 21.

The square root of 53364 is about 231.0064934152. The cubic root of 53364 is about 37.6486543824.

Adding to 53364 its reverse (46335), we get a palindrome (99699).

The spelling of 53364 in words is "fifty-three thousand, three hundred sixty-four".