63824 has 10 divisors (see below), whose sum is σ = 123690. Its totient is φ = 31904.

The previous prime is 63823. The next prime is 63839. The reversal of 63824 is 42836.

It is a happy number.

63824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 53824 + 10000 = 232^2 + 100^2 .

It is a nialpdrome in base 4 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 63824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1979 + ... + 2010.

It is an arithmetic number, because the mean of its divisors is an integer number (12369).

2⁶³⁸²⁴ is an apocalyptic number.

It is an amenable number.

63824 is a deficient number, since it is larger than the sum of its proper divisors (59866).

63824 is a wasteful number, since it uses less digits than its factorization.

63824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3991 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 63824 is about 252.6341227942. The cubic root of 63824 is about 39.9632996708.

The spelling of 63824 in words is "sixty-three thousand, eight hundred twenty-four".