6363 has 12 divisors (see below), whose sum is σ = 10608. Its totient is φ = 3600.

The previous prime is 6361. The next prime is 6367. The reversal of 6363 is 3636.

It is not a de Polignac number, because 6363 - 2¹ = 6361 is a prime.

It is an alternating number because its digits alternate between even and odd.

6363 is an undulating number in base 10.

6363 is a lucky number.

It is a plaindrome in base 14.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (6361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13 + ... + 113.

It is an arithmetic number, because the mean of its divisors is an integer number (884).

2⁶³⁶³ is an apocalyptic number.

6363 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

6363 is a deficient number, since it is larger than the sum of its proper divisors (4245).

6363 is a wasteful number, since it uses less digits than its factorization.

6363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 111 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 6363 is about 79.7684148018. The cubic root of 6363 is about 18.5305072493.

Adding to 6363 its reverse (3636), we get a palindrome (9999).

The spelling of 6363 in words is "six thousand, three hundred sixty-three".