63993 has 8 divisors (see below), whose sum is σ = 86688. Its totient is φ = 41984.

The previous prime is 63977. The next prime is 63997. The reversal of 63993 is 39936.

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

It is a cyclic number.

It is not a de Polignac number, because 63993 - 2⁴ = 63977 is a prime.

63993 is an undulating number in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 63993.

It is not an unprimeable number, because it can be changed into a prime (63997) 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, 121 + ... + 377.

It is an arithmetic number, because the mean of its divisors is an integer number (10836).

2⁶³⁹⁹³ is an apocalyptic number.

It is an amenable number.

63993 is a deficient number, since it is larger than the sum of its proper divisors (22695).

63993 is a wasteful number, since it uses less digits than its factorization.

63993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343.

The product of its digits is 4374, while the sum is 30.

The square root of 63993 is about 252.9683774704. The cubic root of 63993 is about 39.9985416135.

The spelling of 63993 in words is "sixty-three thousand, nine hundred ninety-three".