63309 has 8 divisors (see below), whose sum is σ = 86400. Its totient is φ = 41216.

The previous prime is 63299. The next prime is 63311. The reversal of 63309 is 90336.

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 63309 - 2⁵ = 63277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84 + ... + 365.

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

2⁶³³⁰⁹ is an apocalyptic number.

It is an amenable number.

63309 is a deficient number, since it is larger than the sum of its proper divisors (23091).

63309 is a wasteful number, since it uses less digits than its factorization.

63309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499.

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

The square root of 63309 is about 251.6127977667. The cubic root of 63309 is about 39.8555204364.

The spelling of 63309 in words is "sixty-three thousand, three hundred nine".