63753 has 8 divisors (see below), whose sum is σ = 86400. Its totient is φ = 41808.

The previous prime is 63743. The next prime is 63761. The reversal of 63753 is 35736.

63753 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 63753 - 2⁴ = 63737 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (63703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103 + ... + 371.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2⁶³⁷⁵³ is an apocalyptic number.

It is an amenable number.

63753 is a deficient number, since it is larger than the sum of its proper divisors (22647).

63753 is a wasteful number, since it uses less digits than its factorization.

63753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351.

The product of its digits is 1890, while the sum is 24.

The square root of 63753 is about 252.4935642744. The cubic root of 63753 is about 39.9484753254.

The spelling of 63753 in words is "sixty-three thousand, seven hundred fifty-three".