52384 has 12 divisors (see below), whose sum is σ = 103194. Its totient is φ = 26176.

The previous prime is 52379. The next prime is 52387. The reversal of 52384 is 48325.

52384 = T₄ + T₅ + ... + T₆₇.

52384 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 51984 + 400 = 228^2 + 20^2 .

It is an Ulam number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (52387) by changing a digit.

52384 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 as a sum of consecutive naturals, namely, 787 + ... + 850.

2⁵²³⁸⁴ is an apocalyptic number.

It is an amenable number.

52384 is a deficient number, since it is larger than the sum of its proper divisors (50810).

52384 is a wasteful number, since it uses less digits than its factorization.

52384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1639 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 52384 is about 228.8755120147. The cubic root of 52384 is about 37.4167635299.

The spelling of 52384 in words is "fifty-two thousand, three hundred eighty-four".