63306 has 12 divisors (see below), whose sum is σ = 137202. Its totient is φ = 21096.

The previous prime is 63299. The next prime is 63311. The reversal of 63306 is 60336.

It can be written as a sum of positive squares in only one way, i.e., 38025 + 25281 = 195^2 + 159^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 3517 = 63306 / (6 + 3 + 3 + 0 + 6).

It is a Curzon number.

It is an unprimeable number.

63306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1741 + ... + 1776.

2⁶³³⁰⁶ is an apocalyptic number.

63306 is an abundant number, since it is smaller than the sum of its proper divisors (73896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63306 is a wasteful number, since it uses less digits than its factorization.

63306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3525 (or 3522 counting only the distinct ones).

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

The square root of 63306 is about 251.6068361551. The cubic root of 63306 is about 39.8548908869.

It can be divided in two parts, 6330 and 6, that added together give a palindrome (6336).

The spelling of 63306 in words is "sixty-three thousand, three hundred six".