52364 has 24 divisors (see below), whose sum is σ = 105840. Its totient is φ = 22464.

The previous prime is 52363. The next prime is 52369. The reversal of 52364 is 46325.

It is a d-powerful number, because it can be written as 5⁵ + 2¹⁵ + 3⁴ + 6 + 4⁷ .

It is not an unprimeable number, because it can be changed into a prime (52361) 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, 962 + ... + 1014.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

2⁵²³⁶⁴ is an apocalyptic number.

It is an amenable number.

52364 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 (52920).

52364 is a wasteful number, since it uses less digits than its factorization.

52364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 87 counting only the distinct ones).

The product of its digits is 720, while the sum is 20.

The square root of 52364 is about 228.8318159697. The cubic root of 52364 is about 37.4120010673.

Adding to 52364 its reverse (46325), we get a palindrome (98689).

The spelling of 52364 in words is "fifty-two thousand, three hundred sixty-four".