63903 has 16 divisors (see below), whose sum is σ = 103680. Its totient is φ = 34176.

The previous prime is 63901. The next prime is 63907. The reversal of 63903 is 30936.

63903 is nontrivially palindromic in base 2 and base 16.

63903 is a nontrivial binomial coefficient, being equal to C(358, 2).

It is not a de Polignac number, because 63903 - 2¹ = 63901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

63903 is a lucky number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 63903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268 + ... + 446.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2⁶³⁹⁰³ is an apocalyptic number.

63903 is the 357-th triangular number and also the 179-th hexagonal number.

63903 is a deficient number, since it is larger than the sum of its proper divisors (39777).

63903 is a wasteful number, since it uses less digits than its factorization.

63903 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206.

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 63903 is about 252.7904270339. The cubic root of 63903 is about 39.9797814486.

The spelling of 63903 in words is "sixty-three thousand, nine hundred three".